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

Michitomo Nishizawa; Kimio Ueno

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

Michitomo Nishizawa·Kimio Ueno

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Abstract

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

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Michitomo Nishizawa, Kimio Ueno. 2004-03-26. Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function. https://arxiv.org/abs/math/0403457

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