S Kanemitsu ; Y Tanigawa ; H Tsukada - A generalization of Bochner's formula

hrj:150 - Hardy-Ramanujan Journal, January 1, 2004, Volume 27 - https://doi.org/10.46298/hrj.2004.150
A generalization of Bochner's formula

Authors: S Kanemitsu ; Y Tanigawa ; H Tsukada

In this note we expound our general hierarchy theorems by the example of a Ramified-Type Functional Equarion H, which gives all possbile forms, in terms of se-ries with H-function coefficients, of the functional equation of higher hierarchy arising from the original ramified one satisfied by the Dirichlet series. Then by sepcifying the parameters, we shall deduce a few concrete examples scattered in the literature in the most natural way.

Volume: Volume 27
Published on: January 1, 2004
Submitted on: March 3, 2015
Keywords: zeta-function, generalised Hurwitz-Lerch zeta-function, ramified-type functional equation, Fox $H$-function, Bochner's formula,[MATH] Mathematics [math]


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