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

Mathematics – Classical Analysis and ODEs

Scientific paper

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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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