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Fractional hypergeometric zeta functions |
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| Authors: | Geleta Hunduma Legesse Hassen Abdulkadir |
| Affiliation: | 1.Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia ;2.Department of Mathematics, Rowan University, Glassboro, NY, USA ; |
| 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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