### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*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

}

TY - CHAP

T1 - Kapteyn series

AU - Baricz, A.

AU - Jankov Maširević, Dragana

AU - Pogány, Tibor K.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85044671889&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044671889&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-74350-9_3

DO - 10.1007/978-3-319-74350-9_3

M3 - Chapter

T3 - Lecture Notes in Mathematics

SP - 87

EP - 111

BT - Lecture Notes in Mathematics

PB - Springer Verlag

ER -