Integral representations and complete monotonicity related to the remainder of Burnside�s formula for the gamma function

• Autores: Feng Qi
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 268, Nº 1, 2014, págs. 155-167
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.03.004
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• Resumen

  • In the paper, the authors establish integral representations of some functions related to the remainder of Burnside�s formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend and generalize some known conclusions.