Generalized Bessel Functions Of The First Kind
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Generalized Bessel Functions of the First Kind
Author | : Árpád Baricz |
Publsiher | : Springer Science & Business Media |
Total Pages | : 225 |
Release | : 2010-05-25 |
Genre | : Mathematics |
ISBN | : 9783642122293 |
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This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.
Generalized Bessel Functions of the First Kind
Author | : Rp D. Baricz |
Publsiher | : Unknown |
Total Pages | : 228 |
Release | : 2010-06-18 |
Genre | : Electronic Book |
ISBN | : 3642122310 |
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Introduction to Bessel Functions
Author | : Frank Bowman |
Publsiher | : Courier Corporation |
Total Pages | : 148 |
Release | : 2012-04-27 |
Genre | : Mathematics |
ISBN | : 9780486152998 |
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Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
Series of Bessel and Kummer Type Functions
Author | : Árpád Baricz,Dragana Jankov Maširević,Tibor K. Pogány |
Publsiher | : Springer |
Total Pages | : 201 |
Release | : 2018-03-24 |
Genre | : Mathematics |
ISBN | : 9783319743509 |
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This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.
Handbook of Mathematical Functions
Author | : Milton Abramowitz,Irene A. Stegun |
Publsiher | : Courier Corporation |
Total Pages | : 1068 |
Release | : 1965-01-01 |
Genre | : Mathematics |
ISBN | : 0486612724 |
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An extensive summary of mathematical functions that occur in physical and engineering problems
Advances in Algebra and Analysis
Author | : V. Madhu,A. Manimaran,D. Easwaramoorthy,D. Kalpanapriya,M. Mubashir Unnissa |
Publsiher | : Springer |
Total Pages | : 485 |
Release | : 2019-01-23 |
Genre | : Mathematics |
ISBN | : 9783030011208 |
Download Advances in Algebra and Analysis Book in PDF, Epub and Kindle
This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.
Bessel Functions and Their Applications
Author | : B G Korenev |
Publsiher | : CRC Press |
Total Pages | : 290 |
Release | : 2002-07-25 |
Genre | : Mathematics |
ISBN | : 020321692X |
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Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part One, the author presents a clear and rigorous intro
Generalized Associated Legendre Functions And Their Applications
Author | : Iryna Fedotova,Nina Virchenko |
Publsiher | : World Scientific |
Total Pages | : 217 |
Release | : 2001-04-30 |
Genre | : Mathematics |
ISBN | : 9789814492812 |
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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 ρFq, 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,nκ(z) and Qm,nκ(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,nκ(z) and Qm,nκ(z), the classes of dual and triple integral equations associated with the function Pm,n-1/2+iς(chα) etc.