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Series of Bessel and kummer-type functions

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Series of Bessel and kummer-type functions/ by Arpad Baricz, Dragana Jankov Masirevic, Tibor K. Pogany.
作者:	Baricz, Arpad.
其他作者:	Jankov Masirevic, Dragana.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xix, 201 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Bessel functions. -
電子資源:	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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