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A Generalization of the Riemann Zeta Function and Bernoulli

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A Generalization of the Riemann Zeta
Function and Bernoulli Numbers
Friday, October 28th, 2007
2:30-3:30
Mendel 154
Abdul Hassan, Ph.D.
Rowan University
Abstract
In this talk, we investigate a new family of special functions
called hypergeometric zeta functions. Derived from the integral
representation of the classical Riemann zeta function, these
functions exhibit many properties analogous to their classical
counterpart, including an intimate connection to Bernoulli
numbers. These new properties are used to demonstrate a
functional inequality satisfied by second-order hypergeometric
zeta functions.
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