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More asymptotic expansions for the Barnes G-function.
- 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