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arXiv · 0904.1118

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

Feng Qi·Bai-Ni Guo
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Abstract

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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Feng Qi, Bai-Ni Guo. 2010-07-10. Some properties of extended remainder of Binet's first formula for logarithm of gamma function. https://doi.org/10.2478/s12175-010-0025-7

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