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)|
|Number of pages||16|
|State||Published - Nov 1 2016|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory