Fractional hypergeometric zeta functions

Hunduma Legesse Geleta; Abdulkadir Hassen

doi:10.1007/s11139-015-9717-5

Fractional hypergeometric zeta functions

Hunduma Legesse Geleta, Abdulkadir Hassen

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper we investigate a continuous version of the hypergeometric zeta functions for any positive rational number “a” and demonstrate the analytic continuation. The fractional hypergeometric zeta functions are shown to exhibit many properties analogous to its hypergeometric counter part, including its intimate connection to Bernoulli numbers.

Original language	English (US)
Pages (from-to)	421-436
Number of pages	16
Journal	Ramanujan Journal
Volume	41
Issue number	1-3
DOIs	https://doi.org/10.1007/s11139-015-9717-5
State	Published - Nov 1 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-015-9717-5

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abstract = "In this paper we investigate a continuous version of the hypergeometric zeta functions for any positive rational number “a” and demonstrate the analytic continuation. The fractional hypergeometric zeta functions are shown to exhibit many properties analogous to its hypergeometric counter part, including its intimate connection to Bernoulli numbers.",

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Fractional hypergeometric zeta functions

Abstract

All Science Journal Classification (ASJC) codes

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