Bessel Functions Of The First Kind


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Generalized Bessel Functions of the First Kind


Generalized Bessel Functions of the First Kind

Author: Árpád Baricz

language: en

Publisher: Springer Science & Business Media

Release Date: 2010-05-25


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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.

Introduction to Bessel Functions


Introduction to Bessel Functions

Author: Frank Bowman

language: en

Publisher: Courier Corporation

Release Date: 1958-01-01


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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


Series of Bessel and Kummer-Type Functions

Author: Árpád Baricz

language: en

Publisher: Springer

Release Date: 2018-03-24


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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.