Kapteyn series

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

Research output: Chapter in Book/Report/Conference proceedingChapter


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
Number of pages25
Publication statusPublished - Jan 1 2017

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434

ASJC Scopus subject areas

  • Algebra and Number Theory

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  • 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