### 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 language | English |
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Title of host publication | Lecture Notes in Mathematics |

Publisher | Springer Verlag |

Pages | 87-111 |

Number of pages | 25 |

DOIs | |

Publication status | Published - Jan 1 2017 |

### Publication series

Name | Lecture Notes in Mathematics |
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Volume | 2207 |

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