Some properties of extended remainder of binet’s first formula for logarithm of gamma function

Mathematica Slovaca

Feng Qi¹  Bai-Ni Guo¹ 

关键词: inequality;    extended remainder;    Binet’s first formula;    gamma function;    completely monotonic function;    star-shaped function;    sub-additive function;   

DOI  :  10.2478/s12175-010-0025-7

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

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.

【 授权许可】

Unknown