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

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

2009-04-07

arxiv.org/abs/0904.1118v2

Feng Qi and Bai-Ni Guo, Some properties of extended remainder of Binet's first formula for logarithm of gamma function, Mathem

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

10.2478/s12175-010-0025-7

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.

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