Results 251 to 260 of about 6,366,194 (281)

The Incomplete Gamma Function

1989
This table contains values of \(F(x;\alpha ) = \int_0^x {{1 \over {\Gamma (\alpha )}}{y^{\alpha -1}}{e^{ -y}}dy.} \)
Stephen Kokoska, Christopher Nevison
openaire   +1 more source

Incomplete gamma functions for large values of their variables

Advances in Applied Mathematics, 2005
The authors derive simple asymptotic expansions of the incomplete gamma functions \(\Gamma(a,z)\) and \(\gamma(a,z)\) for large \(a\) and \(z\). They write \(\Gamma(a,z)\) or \(\gamma(a,z)\) as an exponential factor times another factor. This second factor is expanded at the asymptotically relevant point of the exponential factor (saddle point or end ...
José L. López, Ester Perez Sinusía
exaly   +2 more sources

Grünbaum-Type Inequalities for Gamma and Incomplete Gamma Functions

Results in Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
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The Gamma Function and the Incomplete Gamma Functions

2017
The gamma function is defined for \(s \in \mathbb{C}\) by $$\displaystyle{ \varGamma \left (s\right ) =\int _{ 0}^{\infty }t^{s-1}e^{-t}dt }$$
openaire   +1 more source

Products of incomplete gamma functions

Analysis (Germany), 2015
AbstractMany properties of gamma functions are known. In this paper, we extend similar properties to incomplete gamma functions.
Rami Alahmad
exaly   +2 more sources

Computation of the incomplete gamma function ratios and their inverse

ACM Transactions on Mathematical Software, 1986
An algorithm is given for computing the incomplete gamma function ratios P ( a , x ) and Q> ( a , x ) for a ⪈ 0, x ⪈ 0, a +
Armido R. Didonato, Alfred H. Morris Jr.
openaire   +2 more sources

Incomplete Gamma and Error Functions: 10977

The American Mathematical Monthly, 2004
Carl Axness, Bert Kerr, Jean-François Chamayou   +2 more
openaire   +2 more sources

The Incomplete Gamma Functions

2008
Keith B. Oldham, Jan C. Myland, Jerome Spanier   +2 more
openaire   +1 more source

Algorithm 1006: Fast and Accurate Evaluation of a Generalized Incomplete Gamma Function

ACM Transactions on Mathematical Software, 2020
Lionel Moisan, Rémy Abergel
exaly  

Generalized incomplete gamma functions with applications

Journal of Computational and Applied Mathematics, 1994
M Aslam Chaudhry, S M Zubair
exaly