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arXiv:0904.1118 [math.CA]AbstractReferencesReviewsResources

Some properties of extended remainder of Binet's first formula for logarithm of gamma function

Feng Qi, Bai-Ni Guo

Published 2009-04-07, updated 2010-07-10Version 2

In the paper, we extend Binet's first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet's first formula for the logarithm of the gamma function and related functions.

Comments: 8 pages
Journal: Feng Qi and Bai-Ni Guo, Some properties of extended remainder of Binet's first formula for logarithm of gamma function, Mathematica Slovaca 60 (2010), no. 4, 461--470
Categories: math.CA
Subjects: 26A48, 26A51, 33B15
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