Kapteyn series

A. Baricz, Dragana Jankov Maširević, Tibor K. Pogány

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Verlag
Pages87-111
Number of pages25
DOIs
Publication statusPublished - Jan 1 2017

Publication series

NameLecture Notes in Mathematics
Volume2207
ISSN (Print)0075-8434

Fingerprint

Kummer Function
Series
Hypergeometric Functions
Friedrich Wilhelm Bessel
Summation
Integral Representation
Euler
Deduce
Differential equation
Coefficient

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Baricz, A., Jankov Maširević, D., & Pogány, T. K. (2017). Kapteyn series. In Lecture Notes in Mathematics (pp. 87-111). (Lecture Notes in Mathematics; Vol. 2207). Springer Verlag. https://doi.org/10.1007/978-3-319-74350-9_3

Kapteyn series. / Baricz, A.; Jankov Maširević, Dragana; Pogány, Tibor K.

Lecture Notes in Mathematics. Springer Verlag, 2017. p. 87-111 (Lecture Notes in Mathematics; Vol. 2207).

Research output: Chapter in Book/Report/Conference proceedingChapter

Baricz, A, Jankov Maširević, D & Pogány, TK 2017, Kapteyn series. in Lecture Notes in Mathematics. Lecture Notes in Mathematics, vol. 2207, Springer Verlag, pp. 87-111. https://doi.org/10.1007/978-3-319-74350-9_3
Baricz A, Jankov Maširević D, Pogány TK. Kapteyn series. In Lecture Notes in Mathematics. Springer Verlag. 2017. p. 87-111. (Lecture Notes in Mathematics). https://doi.org/10.1007/978-3-319-74350-9_3
Baricz, A. ; Jankov Maširević, Dragana ; Pogány, Tibor K. / Kapteyn series. Lecture Notes in Mathematics. Springer Verlag, 2017. pp. 87-111 (Lecture Notes in Mathematics).
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