### Abstract

In this chapter we will present various results concerning Neumann, Kapteyn and Schlömilch series with members containing functions from the Bessel functions family (Bessel functions of the first and second kind, modified Bessel functions of the first and second kind, Struve functions, modified Struve functions etc.). In Sects. 5.7–5.9 we consider Dini series and Jacobi polynomials, respectively. Next section is devoted to summations of Schlömilch series which members contain some von Lommel functions of the first kind. Section 5.11 finishes this chapter with Neumann–Meijer G series results.

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

Publisher | Springer Verlag |

Pages | 139-184 |

Number of pages | 46 |

DOIs | |

Publication status | Published - Jan 1 2017 |

### Publication series

Name | Lecture Notes in Mathematics |
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Volume | 2207 |

ISSN (Print) | 0075-8434 |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Lecture Notes in Mathematics*(pp. 139-184). (Lecture Notes in Mathematics; Vol. 2207). Springer Verlag. https://doi.org/10.1007/978-3-319-74350-9_5

**Miscellanea.** / 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. 139-184. https://doi.org/10.1007/978-3-319-74350-9_5

}

TY - CHAP

T1 - Miscellanea

AU - Baricz, A.

AU - Jankov Maširević, Dragana

AU - Pogány, Tibor K.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this chapter we will present various results concerning Neumann, Kapteyn and Schlömilch series with members containing functions from the Bessel functions family (Bessel functions of the first and second kind, modified Bessel functions of the first and second kind, Struve functions, modified Struve functions etc.). In Sects. 5.7–5.9 we consider Dini series and Jacobi polynomials, respectively. Next section is devoted to summations of Schlömilch series which members contain some von Lommel functions of the first kind. Section 5.11 finishes this chapter with Neumann–Meijer G series results.

AB - In this chapter we will present various results concerning Neumann, Kapteyn and Schlömilch series with members containing functions from the Bessel functions family (Bessel functions of the first and second kind, modified Bessel functions of the first and second kind, Struve functions, modified Struve functions etc.). In Sects. 5.7–5.9 we consider Dini series and Jacobi polynomials, respectively. Next section is devoted to summations of Schlömilch series which members contain some von Lommel functions of the first kind. Section 5.11 finishes this chapter with Neumann–Meijer G series results.

UR - http://www.scopus.com/inward/record.url?scp=85044646663&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044646663&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-74350-9_5

DO - 10.1007/978-3-319-74350-9_5

M3 - Chapter

AN - SCOPUS:85044646663

T3 - Lecture Notes in Mathematics

SP - 139

EP - 184

BT - Lecture Notes in Mathematics

PB - Springer Verlag

ER -