The Multiple Gamma-Functions and the Log-Gamma Integrals
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, which is a companion paper to [W], starting from the Euler integral which appears in a generalization of Jensen’s formula, we shall give a closed form for the integral of log Γ(1±t).
This enables us to locate the genesis of two new functions A1/a and C1/a considered by Srivastava and Choi.
We consider the closely related function A(a) and the Hurwitz zeta function, which render the task easier than working with the A1/a functions themselves.
We shall also give a direct proof of Theorem 4.1, which is a consequence of [CKK, Corollary 1.1], though.
American Psychological Association (APA)
Wang, X. H.& Lu, Y.-L.. 2012. The Multiple Gamma-Functions and the Log-Gamma Integrals. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-480462
Modern Language Association (MLA)
Wang, X. H.& Lu, Y.-L.. The Multiple Gamma-Functions and the Log-Gamma Integrals. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-480462
American Medical Association (AMA)
Wang, X. H.& Lu, Y.-L.. The Multiple Gamma-Functions and the Log-Gamma Integrals. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-480462
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480462