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Author : Bateman Manuscript Project
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (31 download)
Download or read book Higher Transcendental Functions: Legendre functions written by Bateman Manuscript Project and published by . This book was released on 1953 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bateman Manuscript Project
Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.3/5 (91 download)
Download or read book Higher Transcendental Functions written by Bateman Manuscript Project and published by . This book was released on 1955 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. W. Babister
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.F/5 ( download)
Download or read book Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations written by A. W. Babister and published by . This book was released on 1967 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nina Opanasivna Virchenko
Publisher : World Scientific
ISBN 13 : 9810243537
Total Pages : 217 pages
Book Rating : 4.8/5 (12 download)
Download or read book Generalized Associated Legendre Functions and Their Applications written by Nina Opanasivna Virchenko and published by World Scientific. This book was released on 2001 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions ?Fq, Meijer's G-function, Fox's H-function, etc.Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed form, to examine these solutions, and to investigate the relationships between different classes of the special functions.This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, Pm, n?(z) and Qm, n?(z), which are important representatives of the hypergeometric functions. They occur as generalizations of classical Legendre functions of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the generalized associated Legnedre functions as their series representations, asymptotic formulas in a neighborhood of singular points, zero properties, connection with Jacobi functions, Bessel functions, elliptic integrals and incomplete beta functions.The book also presents the theory of factorization and composition structure of integral operators associated with the generalized associated Legendre function, the fractional integro-differential properties of the functions Pm, n?(z) and Qm, n?(z), the classes of dual and triple integral equations associated with the function Pm, n-1/2+i?(chà) etc.
Author : Arthur Erdélyi
Publisher :
ISBN 13 : 9780070195479
Total Pages : 302 pages
Book Rating : 4.1/5 (954 download)
Download or read book Higher Transcendental Functions written by Arthur Erdélyi and published by . This book was released on 1953 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Larry Lotfali Badii
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (186 download)
Download or read book Applications of Integral Transforms in Generating Summable Series Involving Higher Transcendental Functions written by Larry Lotfali Badii and published by . This book was released on 1966 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of results concerning the sums of certain infinite series involving Legendre functions (including conical functions) are derived. The generating principle chosen here is based upon the application of Integral transforms of the Fourier, Hankel and Meijer type of finite and infinite character. This particular choice leads to a group of three different types of Legendre series: Fourier series type, Cardinal series type and addition theorem type. The presented material is believed to be new and reduces, upon specialization of certain parameters, in a number of cases to already known relations. In view of the scope of the results, it seemed best to give their derivation in a rather condensed form; and for the sake of conciseness, frequently using tables as a method of arrangement. A list of notations and definitions of the occuring functions is given in an appendix.
Author : Harry Bateman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (834 download)
Download or read book Higher transcendental functions written by Harry Bateman and published by . This book was released on 1953 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bateman Manuscript Project
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.0/5 ( download)
Download or read book Tables of Integral Transforms written by Bateman Manuscript Project and published by . This book was released on 1954 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. S. Gradshteyn
Publisher : Academic Press
ISBN 13 : 1483265641
Total Pages : 1207 pages
Book Rating : 4.4/5 (832 download)
Download or read book Table of Integrals, Series, and Products written by I. S. Gradshteyn and published by Academic Press. This book was released on 2014-05-10 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.
Author : M. I. Zhurina
Publisher : Elsevier
ISBN 13 : 1483148254
Total Pages : 327 pages
Book Rating : 4.4/5 (831 download)
Download or read book Tables of The Legendre Functions P—1⁄2+it(x) written by M. I. Zhurina and published by Elsevier. This book was released on 2016-06-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of the Legendre Functions P–1⁄2+it (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – 1⁄2 + it and real values of X > – 1. P–1⁄2+it (X) plays an important role in mathematical physics and are used in solving boundary value problems in potential theory for domains bounded by cones, hyperboloids of revolution, two intersecting spheres, or other second order surfaces. These Legendre functions are also of theoretical interest in connection with the Meler-Fok integral expansion. This book is devoted to the tables of P–1⁄2+it (X) and coefficients in the asymptotic formula. Some properties of the functions P–1⁄2+it (X) and description of the tables are also discussed. This publication is a good source for mathematical physicists and students conducting work on Legendre functions P–1⁄2+it (X).
Author : Bateman Manuscript Project
Publisher :
ISBN 13 : 9780898742077
Total Pages : pages
Book Rating : 4.7/5 (42 download)
Download or read book Higher transcendental functions, based, in part, on notes left by Harry Bateman written by Bateman Manuscript Project and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Higher Transcendental Functions written by and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.K. Suetin
Publisher : Routledge
ISBN 13 : 1351426389
Total Pages : 368 pages
Book Rating : 4.3/5 (514 download)
Download or read book Orthogonal Polynomials in Two Variables written by P.K. Suetin and published by Routledge. This book was released on 2022-04-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.
Author : Ram Shankar Pathak
Publisher : Routledge
ISBN 13 : 135156269X
Total Pages : 432 pages
Book Rating : 4.3/5 (515 download)
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.
Author : Douglas Henderson
Publisher : Elsevier
ISBN 13 : 0323145175
Total Pages : 589 pages
Book Rating : 4.3/5 (231 download)
Download or read book Mathematical Methods XIA written by Douglas Henderson and published by Elsevier. This book was released on 2012-12-02 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Chemistry: An Advanced Treatise: Mathematical Methods, Volume XIA, is devoted to mathematical techniques of interest to chemists. The purpose of this treatise is to present a comprehensive treatment of physical chemistry for advanced students and investigators in a reasonably small number of volumes. An attempt has been made to include all important topics in physical chemistry together with borderline subjects which are of particular interest and importance. The book begins with discussions of elementary concepts such as linear vector spaces; generalized function theory; complex variable theory; boundary-value problems; approximating functions and their applications in numerical differentiation, integration, and the solution of differential equations; and group theory. These are followed by more advanced and specialized chapters that emphasize chemical applications rather than mathematical rigor. This book provides the student of physical chemistry with a basic understanding of those additional mathematical techniques which are important in chemistry and should enable him to read the current literature in theoretical chemistry.
Author : Richard J. Sasiela
Publisher : Springer Science & Business Media
ISBN 13 : 3642850707
Total Pages : 309 pages
Book Rating : 4.6/5 (428 download)
Download or read book Electromagnetic Wave Propagation in Turbulence written by Richard J. Sasiela and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic Wave Propagation in Turbulence is devoted to a method for obtaining analytical solutions to problems of electromagnetic wave propagation in turbulence. In a systematic way the monograph presents the Mellin transforms to evaluate analytically integrals that are not in integral tables. Ample examples of application are outlined and solutions for many problems in turbulence theory are given. The method itself relates to asymptotic results that are applicable to a broad class of problems for which many asymptotic methods had to be employed previously.
Author : Louis A. Pipes
Publisher : Courier Corporation
ISBN 13 : 0486794997
Total Pages : 1043 pages
Book Rating : 4.4/5 (867 download)
Download or read book Applied Mathematics for Engineers and Physicists written by Louis A. Pipes and published by Courier Corporation. This book was released on 2014-06-10 with total page 1043 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced courses in applied mathematics, this text covers analysis of lumped parameter systems, distributed parameter systems, and important areas of applied mathematics. Answers to selected problems. 1970 edition.
