The Multiple Gamma-Functions and the Log-Gamma Integrals | Zendy

X.-H. Wang | Zendy; Yan Lu | Zendy

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The Multiple Gamma-Functions and the Log-Gamma Integrals

Author(s) -

X.-H. Wang,

Yan Lu

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/547459

Subject(s) - mathematics , corollary , generalization , gamma function , euler's formula , riemann zeta function , pure mathematics , function (biology) , discrete mathematics , mathematical analysis , evolutionary biology , biology

In this paper, which is a companion paper to [W],starting from the Euler integral which appears in a generalizationof Jensen’s formula, we shall give a closed form for the integralof log . This enables us to locate the genesis of two newfunctions and considered by Srivastava and Choi. Weconsider the closely related function A(a) and the Hurwitz zeta function,which render the task easier than working with the functions themselves. We shall also give a direct proof of Theorem4.1, which is a consequence of [CKK, Corollary 1.1], though

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