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Asymptotic expansions for ratios of products of gamma functions [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 18, Page 1167-1171, 2003., 2003 An asymptotic expansion for a ratio of products of gamma functions is derived.Comment: 6 pages. v2: A paragraph containing one additional reference included at the end.
Bühring, Wolfgang
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Some New Application of Extended Wright Function
Abstract and Applied AnalysisMSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Pallavi Sharma +3 more
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An asymptotic expansion for a ratio of products of gamma functions [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 505-510, 2000., 2000 An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formula which was stated by Dingle, first proved by Paris, and recently reconsidered by Olver.Comment: 8 ...
Buehring, Wolfgang
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Refinement of Gautschi's harmonic mean inequality for the gamma function
Rendiconti del Seminario Matematico della Universita di Padova, 2023 In 1974, W. Gautschi proved that 1 < 2 1/Γ(x) + 1/Γ(1/x) , 0 < x 6= 1. Here, we present the following refinement: 1 < Γ ( 2 x+ 1/x ) < 2 1/Γ(x) + 1/Γ(1/x) , 0 < x 6= 1. 2020 Mathematics Subject Classification.
H. Alzer
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Mathematical Inequalities & Applications, 2021 In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives
Feng Qi (祁锋)
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New properties for the Ramanujan R-function
Open Mathematics, 2022 In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu +3 more
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Integral transforms involving a generalized k-Bessel function
Demonstratio Mathematica, 2023 The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Euler ...
Khammash Ghazi S. +4 more
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Complete monotonicity of some functions involving k-digamma function with application
Journal of Mathematical Inequalities, 2021 We present several complete monotonicity properties involving k -digamma function with single parameter. These established results provide a k -generalization for the known results obtained by Burić and Elezović in [5]. Finally, we give an application to
L. Yin, Li-Guo Huang, Xiuli Lin
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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Advanced Nonlinear Studies, 2021 The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
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