Moments of Hypergeometric Hurwitz Zeta Functions
نویسندگان
چکیده
This paper investigates a generalization the classical Hurwitz zeta function. It is shown that many of the properties exhibited by this special function extends to class of functions called hypergeometric Hurwitz zeta functions, including their analytic continuation to the complex plane and a pre-functional equation satisfied by them. As an application, a formula for moments of hypergeometric Hurwitz zeta functions is developed, extending the formula by Espinosa and Moll for moments of the classical Hurwitz zeta function.
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