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

数论 2007-05-23 v1 经典分析与常微分方程

作者: Michitomo Nishizawa , Kimio Ueno

摘要

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

关键词

zeta functions hypergeometric functions special functions

引用

@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}
}