Title
Computing the principal branch of log-Gamma
Abstract
The log-Gamma function is an important special function of math- ematics, and its principal branch is required in many applications. We develop here the mathematics required to evaluate the principal branch to arbitrary precision, including a new bound for the error in Stirling's asymptotic series. We conclude with a discussion of the implementation of the principal branch of the log-Gamma function in the Maple symbolic algebra system, starting with version Maple V Release 3.
Year
DOI
Venue
1997
10.1006/jagm.1997.0881
J. Algorithms
Keywords
Field
DocType
gamma,log-gamma,principal branch,maple this research was supported in part by the natural sciences and engineering research,gamma function,special functions
Maple,Discrete mathematics,Arbitrary-precision arithmetic,Symbolic computation,Principal branch,Asymptotic expansion,Logarithm,Mathematics,Gamma function
Journal
Volume
Issue
ISSN
25
2
0196-6774
Citations 
PageRank 
References 
2
0.47
0
Authors
1
Name
Order
Citations
PageRank
D. E. G. Hare195483.38