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2017 | OriginalPaper | Chapter

3. Kapteyn Series

Authors : Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány

Published in: Series of Bessel and Kummer-Type Functions

Publisher: Springer International Publishing

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Abstract

In this chapter we deduce several results for Kapteyn series of Bessel and Kummer hypergeometric functions. We present some integral representations and results on coefficients by using the Euler-Maclaurin summation technique and the differential equation technique.

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previous chapter Neumann Series

next chapter Schlömilch Series

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Title: Kapteyn Series
Authors: Árpád Baricz
Dragana Jankov Maširević
Tibor K. Pogány
Publisher: Springer International Publishing
Book: Series of Bessel and Kummer-Type Functions
Print ISBN: 978-3-319-74349-3

Electronic ISBN: 978-3-319-74350-9

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-319-74350-9_3

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