Results 321 to 330 of about 12,298,354 (363)

Integral representations for the Gamma function, the Beta function, and the Double Gamma function

Integral Transforms and Special Functions, 2009
A variety of integral representations for some special functions have been developed. Here we aim at presenting certain (new or known) integral representations for , B(α, β), and by using some of the known integral representations of the Hurwitz (or generalized) Zeta function ζ(s, a).
Junesang Choi, Hari M. Srivastava
openaire   +2 more sources

The Gamma and Zeta Functions [PDF]

, 1993
We now come to a situation where the natural way to define a function is not through a power series but through an integral depending on a parameter. We shall give a natural condition when we can differentiate under the integral sign, and we can then use Goursat’s theorem to conclude that the holomorphic function so defined is analytic.
openaire   +1 more source

The Gamma Function and Related Functions

1998
Abstract Because it is a generalization of n!, the gamma function has been examined over the years as a means of generalizing certain functions, operations, etc., that are commonly defined in terms of factorials. In addition, the gamma function is useful in the evaluation of many nonelementary integrals and in the definition of other ...
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An algorithm for the evaluation of the incomplete gamma function

Advances in Computational Mathematics, 2019
P. Greengard, V. Rokhlin
semanticscholar   +1 more source

Generalized Statistically Almost Convergence Based on the Difference Operator which Includes the (p, q)-Gamma Function and Related Approximation Theorems

, 2018
U. Kadak, S. A. Mohiuddine
semanticscholar   +1 more source

A kilonova following a long-duration gamma-ray burst at 350 Mpc

Nature, 2022
Jillian Rastinejad, Samantha R Oates, Antonio de Ugarte Postigo   +2 more
exaly  

Euler’s Gamma Function

2018
For proofs of the following results, see for example Chapters 12 and 13 of Whittaker and Watson (A Course of Modern Analysis. Cambridge University Press, Cambridge, 1996).
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Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function

, 2017
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar   +1 more source

CD147 antibody specifically and effectively inhibits infection and cytokine storm of SARS-CoV-2 and its variants delta, alpha, beta, and gamma

Signal Transduction and Targeted Therapy, 2021
Liang Chen, You-Chun Wang, Chuan Qin
exaly  

High-yield growth of FACsPbBr3 single crystals with low defect density from mixed solvents for gamma-ray spectroscopy

Nature Photonics, 2023
, Zhifang Shi, Jinsong Huang
exaly