Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function

被引：0
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作者：
Feng Qi
Bai-Ni Guo
机构：
[1] Henan Polytechnic University,Institute of Mathematics
[2] Inner Mongolia University for Nationalities,College of Mathematics
[3] Tianjin Polytechnic University,Department of Mathematics, College of Science
[4] Henan Polytechnic University,School of Mathematics and Informatics
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2017年 / 111卷
关键词：
Remainder; Binet formula; Stirling formula; Gamma function; Complete monotonicity; Integral representation; Limit; Primary 33B15; Secondary 26A48; 26A51; 30E20; 41A60; 44A10;
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摘要：
In the paper, the authors find integral representations, complete monotonicity, limits, and other properties of remainders of the Binet and Stirling formulas for the gamma function and their derivatives. These properties strengthen almost all results in three papers published in the Journal of Computational and Applied Mathematics, Applied Mathematics Letters, and Applied Mathematics and Computation in the years 2006, 2011, and 2014 by seven mathematicians. The proofs in the paper unify and are simpler than those in the three papers.
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页码：425 / 434
页数：9
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