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Selected Works of Abdul Hassen
Article
Fractional hypergeometric zeta functions
The Ramanujan Journal (2016)
  • Hunduma Legesse Geleta
  • Abdulkadir Hassen, Rowan University
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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.
Keywords
  • Riemann zeta function,
  • Hypergeometric zeta functions,
  • Fractional hypergeometric zeta functions,
  • Incomplete gamma functions and Confluent hypergeometric function
Disciplines
Publication Date
November, 2016
DOI
10.1007/s11139-015-9717-5
Citation Information
Hunduma Legesse Geleta and Abdulkadir Hassen. "Fractional hypergeometric zeta functions" The Ramanujan Journal Vol. 41 Iss. 1 (2016) p. 421 - 436 ISSN: 1572-9303
Available at: http://works.bepress.com/abdul-hassen/2/