Affiliation:
1. Department of Mathematics, Rowan University, Glassboro, NJ 08028, USA
Abstract
This paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the classical Riemann zeta function, hypergeometric zeta functions exhibit many properties analogous to their classical counterpart, including the intimate connection to Bernoulli numbers. These new properties are treated in detail and are used to demonstrate a functional inequality satisfied by second-order hypergeometric zeta functions.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
28 articles.
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