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Author :
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (47 download)
Download or read book Umbral Calculus and Its Applications written by and published by . This book was released on 2001 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven Roman
Publisher : Courier Dover Publications
ISBN 13 : 0486834131
Total Pages : 209 pages
Book Rating : 4.4/5 (868 download)
Download or read book Umbral Calculus written by Steven Roman and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter offers a glimpse of the newer and less well-established forms of umbral calculus.
Author : Francesco Aldo Costabile
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110652927
Total Pages : 273 pages
Book Rating : 4.1/5 (16 download)
Download or read book Modern Umbral Calculus written by Francesco Aldo Costabile and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel approach to umbral calculus, which uses only elementary linear algebra (matrix calculus) based on the observation that there is an isomorphism between Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials.
Author : Marko Razpet
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (16 download)
Download or read book ˜Anœ application of the umbral calculus written by Marko Razpet and published by . This book was released on 1988 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Silvia Licciardi
Publisher : World Scientific
ISBN 13 : 9811255342
Total Pages : 295 pages
Book Rating : 4.8/5 (112 download)
Download or read book Guide To The Umbral Calculus, A Different Mathematical Language written by Silvia Licciardi and published by World Scientific. This book was released on 2022-06-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to provide a formal bridge between different fields of research in pure and applied.
Author : Francesco Aldo Costabile
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110650096
Total Pages : 275 pages
Book Rating : 4.1/5 (16 download)
Download or read book Modern Umbral Calculus written by Francesco Aldo Costabile and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel approach to umbral calculus, which uses only elementary linear algebra (matrix calculus) based on the observation that there is an isomorphism between Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials.
Author : Steven Roman
Publisher : Courier Dover Publications
ISBN 13 : 0486839885
Total Pages : 209 pages
Book Rating : 4.4/5 (868 download)
Download or read book The Umbral Calculus written by Steven Roman and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter offers a glimpse of the newer and less well-established forms of umbral calculus.
Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 038727474X
Total Pages : 488 pages
Book Rating : 4.3/5 (872 download)
Download or read book Advanced Linear Algebra written by Steven Roman and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra
Author : Stefano Spezia
Publisher :
ISBN 13 : 9781774698754
Total Pages : 0 pages
Book Rating : 4.6/5 (987 download)
Download or read book Umbral Calculus: Techniques for Pure and Applied Mathematicians written by Stefano Spezia and published by . This book was released on 2023-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1850, mathematicians have successfully applied umbral calculus in many fields of mathematics and physics. The success of umbral calculus is due to the possibility of using techniques that have simplified the technicalities of calculations, which are usually wearisome when performed with conventional methods. Umbral Calculus: Techniques for Pure and Applied Mathematics book provides the theoretical basis and many examples of umbral calculus, including operator theory, Hermite, Frobenius-Euler, and other special polynomials, Bessel functions, and at the end, results concerning number theory within umbral calculus viewpoint.
Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 3319312812
Total Pages : 745 pages
Book Rating : 4.3/5 (193 download)
Download or read book Mathematical Analysis, Approximation Theory and Their Applications written by Themistocles M. Rassias and published by Springer. This book was released on 2016-06-03 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.
Author : Nisar K. S.
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783848404452
Total Pages : 140 pages
Book Rating : 4.4/5 (44 download)
Download or read book Umbral Calculus written by Nisar K. S. and published by LAP Lambert Academic Publishing. This book was released on 2012-04 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of binomial enumeration is variously called the calculus of finite differences or the Umbral calculus. This theory studies the analogies between various sequences of polynomials pn and the powers sequence xn. The subscript n in pn was thought of as the shadow ("Umbra" means "Shadow" in Latin, whence the name umbral calculus) of the subscript n in xn, and many parallels were discovered between such sequences.At the very outset a brief explanation of the term modern umbral calculus is given. A large part of applied analysis is concerned with the study of certain sequences of special polynomials. Some of the most important of these sequences are associated with the names of Jacobi, Gegenbauer, Legendre, Chebyshev, Bessel, Laguerre, Hermite and Bernoulli. All of these sequences and many more, fall into a special class. Boas and Buck, in their work on polynomial expansions of analytic functions, used the term sequence of generalized Appell type for members of this class.
Author : Thomas Ernst
Publisher : Springer Science & Business Media
ISBN 13 : 303480430X
Total Pages : 491 pages
Book Rating : 4.0/5 (348 download)
Download or read book A Comprehensive Treatment of q-Calculus written by Thomas Ernst and published by Springer Science & Business Media. This book was released on 2012-09-08 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.
Author : Gian-Carlo Rota
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (296 download)
Download or read book Finite Operator Calculus written by Gian-Carlo Rota and published by . This book was released on 1972 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hari Mohan Srivastava
Publisher : MDPI
ISBN 13 : 3038974005
Total Pages : 221 pages
Book Rating : 4.0/5 (389 download)
Download or read book Mathematical Analysis and Applications written by Hari Mohan Srivastava and published by MDPI. This book was released on 2019-01-14 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Mathematical Analysis and Applications" that was published in Axioms
Author : Marvin L Bittinger
Publisher : Pearson Higher Ed
ISBN 13 : 1292037067
Total Pages : 802 pages
Book Rating : 4.2/5 (92 download)
Download or read book Calculus and Its Applications: Pearson New International Edition written by Marvin L Bittinger and published by Pearson Higher Ed. This book was released on 2013-08-29 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus and Its Applications, Tenth Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today’s students, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text’s numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help students to more readily understand and apply the mathematics.
Author : Michael Ruzhansky
Publisher : World Scientific
ISBN 13 : 9814313165
Total Pages : 668 pages
Book Rating : 4.8/5 (143 download)
Download or read book Progress in Analysis and Its Applications written by Michael Ruzhansky and published by World Scientific. This book was released on 2010 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes papers on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 500 participants from almost 60 countries attending the congress, the book comprises a broad selection of contributions in different topics.
Author : Cheon Seoung Ryoo
Publisher : BoD – Books on Demand
ISBN 13 : 183880269X
Total Pages : 174 pages
Book Rating : 4.8/5 (388 download)
Download or read book Polynomials written by Cheon Seoung Ryoo and published by BoD – Books on Demand. This book was released on 2019-05-02 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme.
