Results 21 to 30 of about 101 (93)
An asymptotic expansion for a ratio of products of gamma functions
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 ...
Wolfgang Bühring
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Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]
, 2012 MSC 2010: 33B15, 26A51 ...
Merovci, Faton, Krasniqi, Valmir
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A Generalization of Ramanujan‐Type Integrals
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Recently, Xu, Yin, and Zhou obtained explicit evaluations of the Ramanujan‐type integrals ∫0∞xs−1sinbx/coshax−cosbxdx and ∫0∞xs−1sinbx/coshax+cosbxdx, expressing them in closed form in terms of the gamma function, the Riemann zeta function, and the alternating zeta function.
Irshad Ayoob, Shikha Binwal
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Extension of complete monotonicity results involving the digamma function
Moroccan Journal of Pure and Applied Analysis, 2018 By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
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Some applications of a differential subordination
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 649-654, 1999., 1999 A number of interesting criteria were given by earlier workers for a normalized analytic function to be in the familiar class 𝔖* of starlike functions. The main object of the present paper is to extend and improve each of these earlier results. An application associated with an integral operator 𝔉c(c > −1) is also considered.
Yong Chan Kim, H. M. Srivastava
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper develops a shared gamma‐formula framework for predicting and verifying the degenerate scales of regular and star polygonal domains in the two‐dimensional Laplace boundary integral formulations. Starting from the known gamma‐function expression for regular (N, 1)‐gons, we examine how the same analytical scale law can be extended to (N, 2 ...
J. T. Chen +4 more
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Demonstratio MathematicaIn this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
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Certain Properties and Applications of Generalized Gamma and Beta Distributions
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Special functions frequently arise in many areas of mathematics, physics, and engineering. In this research paper, we consider two well‐known special functions: the generalized gamma function Γk(h) and the generalized beta function βk(g, h). We investigate two important extensions of the classical probability distributions, namely the k‐gamma and k ...
Syed Ali Haider Shah +4 more
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A Novel Form of Multiplicative Gamma Function and Its Analytical Properties
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we introduce and investigate a novel Euler‐style multiplicative gamma function formulated within the framework of multiplicative calculus. This function is defined via a multiplicative integral and serves as a multiplicative analogue of the classical gamma function.
Sajedeh Norozpour +4 more
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Generalization of Some Inequalities for the Ratio of Gamma Functions [PDF]
, 2014 access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
M. M. Iddrisu +3 more
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