Integral Transformations Operational Calculus And Their Applications

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Integral Transformations, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher : MDPI
ISBN 13 : 3039368826
Total Pages : 220 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Integral Transformations, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformations, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by MDPI. This book was released on 2021-01-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Integral Transformations, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher :
ISBN 13 : 9783039368839
Total Pages : 220 pages
Book Rating : 4.3/5 (688 download)

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Book Synopsis Integral Transformations, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformations, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by . This book was released on 2020 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Integral Transformation, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher : Mdpi AG
ISBN 13 : 9783036554815
Total Pages : 0 pages
Book Rating : 4.5/5 (548 download)

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Book Synopsis Integral Transformation, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformation, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by Mdpi AG. This book was released on 2022-11-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance and usefulness of subjects and topics involving integral transformations and operational calculus are becoming widely recognized, not only in the mathematical sciences but also in the physical, biological, engineering and statistical sciences. This book contains invited reviews and expository and original research articles dealing with and presenting state-of-the-art accounts of the recent advances in these important and potentially useful subjects.

Integral Transforms and Operational Calculus

Author : H. M. Srivastava
Publisher : MDPI
ISBN 13 : 303921618X
Total Pages : 510 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Integral Transforms and Operational Calculus by : H. M. Srivastava

Download or read book Integral Transforms and Operational Calculus written by H. M. Srivastava and published by MDPI. This book was released on 2019-11-20 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications

Theory and Applications of Integral Transformations and Operational Calculus

Author : Jocelyn Cole
Publisher : Willford Press
ISBN 13 : 9781647285319
Total Pages : 0 pages
Book Rating : 4.2/5 (853 download)

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Book Synopsis Theory and Applications of Integral Transformations and Operational Calculus by : Jocelyn Cole

Download or read book Theory and Applications of Integral Transformations and Operational Calculus written by Jocelyn Cole and published by Willford Press. This book was released on 2023-09-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integral transform maps a function from its original function space onto another function space by integration in which some of the features of the original function could be easier to manipulate and characterize than in the original function space. The function which is transformed can be traced back to the original function generally, through the inverse transform. An integral transform traces an equation from the original domain in the other domain; where solving and manipulating the equation is much easier as compared to the original domain. Operational calculus is a method which transforms differential equations into algebraic problems. The theory of integral transformations and related operational calculus has applications in a variety of fields including physical sciences, engineering, mathematical sciences, statistics and chemical sciences. This book explores all the important aspects of integral transformations and operational calculus. It is meant for students who are looking for an elaborate reference text on the theory and applications of integral transformations and operational calculus.

Integral Transformations, Operational Calculus, and Generalized Functions

Author : R.G. Buschman
Publisher : Springer Science & Business Media
ISBN 13 : 1461312833
Total Pages : 248 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Integral Transformations, Operational Calculus, and Generalized Functions by : R.G. Buschman

Download or read book Integral Transformations, Operational Calculus, and Generalized Functions written by R.G. Buschman and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function".

Integral Transforms and Their Applications

Author : Lokenath Debnath
Publisher : CRC Press
ISBN 13 : 1420010913
Total Pages : 723 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Integral Transforms and Their Applications by : Lokenath Debnath

Download or read book Integral Transforms and Their Applications written by Lokenath Debnath and published by CRC Press. This book was released on 2016-04-19 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.

Operational Calculus and Related Topics

Author : A. P. Prudnikov
Publisher : CRC Press
ISBN 13 : 1420011499
Total Pages : 420 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Operational Calculus and Related Topics by : A. P. Prudnikov

Download or read book Operational Calculus and Related Topics written by A. P. Prudnikov and published by CRC Press. This book was released on 2006-08-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan

Integral Transforms and Their Applications, Third Edition

Author : Lokenath Debnath
Publisher : CRC Press
ISBN 13 : 1482223570
Total Pages : 820 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Integral Transforms and Their Applications, Third Edition by : Lokenath Debnath

Download or read book Integral Transforms and Their Applications, Third Edition written by Lokenath Debnath and published by CRC Press. This book was released on 2014-11-07 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms and their applications. New to the Third Edition New material on the historical development of classical and modern integral transforms New sections on Fourier transforms of generalized functions, the Poisson summation formula, the Gibbs phenomenon, and the Heisenberg uncertainty principle Revised material on Laplace transforms and double Laplace transforms and their applications New examples of applications in mechanical vibrations, electrical networks, quantum mechanics, integral and functional equations, fluid mechanics, mathematical statistics, special functions, and more New figures that facilitate a clear understanding of physical explanations Updated exercises with solutions, tables of integral transforms, and bibliography Through numerous examples and end-of-chapter exercises, this book develops readers’ analytical and computational skills in the theory and applications of transform methods. It provides accessible working knowledge of the analytical methods and proofs required in pure and applied mathematics, physics, and engineering, preparing readers for subsequent advanced courses and research in these areas.

Multidimensional Integral Transformations

Author :
Publisher : CRC Press
ISBN 13 : 9782881248399
Total Pages : 404 pages
Book Rating : 4.2/5 (483 download)

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Book Synopsis Multidimensional Integral Transformations by :

Download or read book Multidimensional Integral Transformations written by and published by CRC Press. This book was released on 1992 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cross between a textbook and a monograph, this extensive introduction discusses all of the most important transformations, compiling information otherwise scattered throughout the literature. Attention is concentrated on the operational calculus of the major integral transformations and some of its applications, with an investigation of transforms in spaces of functions and of distributions. Annotation copyrighted by Book News, Inc., Portland, OR

Integral Transforms and Their Applications

Author : B. Davies
Publisher : Springer Science & Business Media
ISBN 13 : 1475755120
Total Pages : 427 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Integral Transforms and Their Applications by : B. Davies

Download or read book Integral Transforms and Their Applications written by B. Davies and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.

Integral Transforms and Operational Calculus

Author : Hari Mohan Srivastava
Publisher :
ISBN 13 : 9783039216192
Total Pages : 510 pages
Book Rating : 4.2/5 (161 download)

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Book Synopsis Integral Transforms and Operational Calculus by : Hari Mohan Srivastava

Download or read book Integral Transforms and Operational Calculus written by Hari Mohan Srivastava and published by . This book was released on 2019 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.

Integral Transforms and Operational Calculus

Author : Vitaliĭ Arsenʹevich Ditkin
Publisher : Pergamon
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Integral Transforms and Operational Calculus by : Vitaliĭ Arsenʹevich Ditkin

Download or read book Integral Transforms and Operational Calculus written by Vitaliĭ Arsenʹevich Ditkin and published by Pergamon. This book was released on 1965 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier transforms -- Laplace transforms -- Bessel transforms -- Other integral transforms -- Operational calculus -- Summary of notation for special functions and certain constraints -- Fourier cosine transforms -- Fourier sine transforms -- Laplace-Carson transforms -- Mellin transforms -- Bessel transforms -- Other integral transforms.

Integral Transforms and Their Applications

Author : Brian Davies
Publisher : Springer Science & Business Media
ISBN 13 : 1468492837
Total Pages : 380 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Integral Transforms and Their Applications by : Brian Davies

Download or read book Integral Transforms and Their Applications written by Brian Davies and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.

Operational Calculus in Two Variables and Its Applications

Author : V.A. Ditkin
Publisher : Courier Dover Publications
ISBN 13 : 0486818497
Total Pages : 177 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Operational Calculus in Two Variables and Its Applications by : V.A. Ditkin

Download or read book Operational Calculus in Two Variables and Its Applications written by V.A. Ditkin and published by Courier Dover Publications. This book was released on 2017-09-13 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise treatment of fundamental theory explores two-dimensional Laplace transform and basic definitions, theorems, applications of operational calculus in two variables. Includes tables of formulae for various categories of functions. 1962 edition.

Operational Calculus

Author : Thomas K. Boehme
Publisher : Elsevier
ISBN 13 : 1483161455
Total Pages : 264 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Operational Calculus by : Thomas K. Boehme

Download or read book Operational Calculus written by Thomas K. Boehme and published by Elsevier. This book was released on 2014-08-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included. Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-homogeneous equations and applications of operational calculus to partial differential equations. The section section deals with the integral of an operational function and its applications, along with integral transformations. A definition of operators in terms of abstract algebra is then presented. Operators as generalized functions, power series of operators, and Laplace transform are also discussed. Formulas of the operational calculus and tables of functions round out the book. This monograph will be useful to engineers, who regard the operational calculus merely as a tool in their work, and readers who are interested in proofs of theorems and mathematical problems.

Integral Transforms of Generalized Functions and Their Applications

Author : Ram Shankar Pathak
Publisher : Routledge
ISBN 13 : 135156269X
Total Pages : 432 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Integral Transforms of Generalized Functions and Their Applications by : Ram Shankar Pathak

Download or read book Integral Transforms of Generalized Functions and Their Applications written by Ram Shankar Pathak and published by Routledge. This book was released on 2017-07-05 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: For those who have a background in advanced calculus, elementary topology and functional analysis - from applied mathematicians and engineers to physicists - researchers and graduate students alike - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject. The author presents the last two decades of research and includes important results from other works.