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

2004/03/26 by Michitomo Nishizawa, Nishizawa, Michitomo, Kimio Ueno +1
Mathematics · Physics and Astronomy · #11M35 #33E20 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #Quantum Mechanics and Non-Hermitian Physics #math.CA #math.NT #msc:11M35 #msc:33E20

paper · pdf · doi:10.48550/arxiv.math/0403457

4 pages

arxiv created 2004/03/26 · openalex publication_date 2004/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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