Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function

Michitomo Nishizawa; Kimio Ueno

Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function

Number Theory 2007-05-23 v1 Classical Analysis and ODEs

Authors: Michitomo Nishizawa , Kimio Ueno

Abstract

The functional relation of the Hurwitz zeta function is proved by using the connection problem of the confluent hypergeometric equation.

Keywords

zeta functions hypergeometric functions special functions

Cite

@article{arxiv.math/0403457,
  title  = {Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function},
  author = {Michitomo Nishizawa and Kimio Ueno},
  journal= {arXiv preprint arXiv:math/0403457},
  year   = {2007}
}