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Completely monotonic functions related to the gamma and the q-gamma functions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
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On the functional equations of the q-Gamma function

Aequationes mathematicae, 2014
A functional equation is a relationship between values of a function with different arguments. The author mentions some classical functional relations of the gamma function and \(q\)-gamma function. \textit{E. Artin} [The gamma function. New York-Chicago-San Francisco-Toronto-London: Holt, Rinehart and Winston (1964; Zbl 0144.06802)] provides a ...
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Gamma-starlike functions

1976
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 53-58 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 28 (1974), s. 53-58 ; streszcz. pol., ros.
Lewandowski, Zdzisław (1929-2011)   +2 more
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The Gamma function

2004
We have defined (Set Theory, III, p. 179) the function n! for every integer n ≥ 0, as equal to the product \(\prod\limits_{0 \leqslant k \leqslant n} {(n - k)}\); so 0!=1 and (n+1)!=(n+1)n! for n ≥ 0. We set г(n) = (n − 1)! for each integer n ≥ 1; we propose to define, on the set of real numbers x > 0, a continuous function г(x) extending the function ...
Elementary Theory, Philip Spain
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New approximations of the gamma function in terms of the digamma function

Applied Mathematics Letters, 2010
Cristinel Mortici
exaly  

Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios

SIAM Journal of Scientific Computing, 2012
Amparo Gil   +2 more
exaly  

A continued fraction approximation of the gamma function

Journal of Mathematical Analysis and Applications, 2013
Cristinel Mortici
exaly  

On Defining The Incomplete Gamma Function

Integral Transforms and Special Functions, 2003
Adem Kiliçman
exaly  

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