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More asymptotic expansions for the Barnes G-function.

Authors :
Xu, Zhihang
Wang, Weiping
Source :
Journal of Number Theory. May2017, Vol. 174, p505-517. 13p.
Publication Year :
2017

Abstract

In this paper, by the exponential complete Bell polynomials, we establish two general asymptotic expansions for the Barnes G -function, which contain only even power terms or odd power terms. We also derive the recurrences for the coefficient sequence or the parameter sequences in these two general expansions, and obtain some special asymptotic expansions by specifying the parameters. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022314X
Volume :
174
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
120799737
Full Text :
https://doi.org/10.1016/j.jnt.2016.11.007