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Series of Bessel and kummer-type functions

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Series of Bessel and kummer-type functions/ by Arpad Baricz, Dragana Jankov Masirevic, Tibor K. Pogany.
Author:	Baricz, Arpad.
other author:	Jankov Masirevic, Dragana.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xix, 201 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Bessel functions. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-74350-9
ISBN:	9783319743509

Series of Bessel and kummer-type functions
Baricz, Arpad.

Series of Bessel and kummer-type functions[electronic resource] /by Arpad Baricz, Dragana Jankov Masirevic, Tibor K. Pogany. - Cham :Springer International Publishing :2017. - xix, 201 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22070075-8434 ;. - Lecture notes in mathematics ;1943..

1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea.

This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlomilch, 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.

ISBN: 9783319743509

Standard No.: 10.1007/978-3-319-74350-9doiSubjects--Topical Terms:

1198501
Bessel functions.

LC Class. No.: QA408

Dewey Class. No.: 515.53

Series of Bessel and kummer-type functions
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245 1 0 $a Series of Bessel and kummer-type functions $h [electronic resource] / $c by Arpad Baricz, Dragana Jankov Masirevic, Tibor K. Pogany.
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505 0 $a 1. Introduction and Preliminaries -- 2. Neumann Series -- 3. Kapteyn Series -- 4. Schlomilch Series -- 5. Miscellanea.
520 $a This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlomilch, 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.
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650 0 $a Functions, Special. $3 527750
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650 2 4 $a Sequences, Series, Summability. $3 672022
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650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Astronomy, Astrophysics and Cosmology. $3 593936
700 1 $a Jankov Masirevic, Dragana. $3 1198499
700 1 $a Pogany, Tibor K. $3 1198500
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