New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions

Details New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions

2009-03-26

arxiv.org/abs/0903.4539v1

Mathematics

Classical Analysis and ODEs

Scientific paper

New proofs of the duplication formulae for the gamma and the Barnes double
gamma functions are derived using the Hurwitz zeta function. Concise
derivations of Gauss's multiplication theorem for the gamma function and a
corresponding one for the double gamma function are also reported. This paper
also refers to some connections with the Stieltjes constants.

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