Results 11 to 20 of about 6,301 (213)

Generalized incomplete gamma functions with applications

Journal of Computational and Applied Mathematics, 1994
The authors introduce the following generalization of the incomplete gamma function: \[ \int^\infty_x e^{-t} t^{\alpha - 1} e^{- t - b/t} dt, \quad \text{Re} (\alpha),\;b > 0, \] and its complement. These have been found useful in their researches in heat conduction, probability theory and in the study of Fourier and Laplace transforms.
Chaudhry, M.Aslam, Zubair, S.M.
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On Extended Convex Functions via Incomplete Gamma Functions

Journal of Function Spaces, 2021
Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. In this paper, firstly we introduce the notion of
Yan Zhao, M. Shoaib Saleem, Shahid Mehmood, Zabidin Salleh   +3 more
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Some expansion formulas for incomplete H- and H̅-functions involving Bessel functions

Advances in Difference Equations, 2020
In this paper, we assess an integral containing incomplete H-functions and utilize it to build up an expansion formula for the incomplete H-functions including the Bessel function.
Sapna Meena, Sanjay Bhatter, Kamlesh Jangid, Sunil Dutt Purohit   +3 more
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On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

Axioms, 2023
Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis.
Sergey Sekatskii
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

Malaysian Journal of Computing, 2021
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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On an extension of generalized incomplete Gamma functions with applications [PDF]

The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1996
AbstractIn this paper we have introduced extensionsνυ(α,x; b) and Γν(α,x; b) of the generalized Gamma functionsγ(αx; b) and Γ(α,x; b) considered recently by Chaudhry and Zubair. These extensions are found useful in the representations of the Laplace andK-transforms of a class of functions.
Chaudhry, M. Aslam, Zubair, S. M.
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New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions

Journal of Inequalities and Applications, 2020
A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions.
Pshtiwan Othman Mohammed, Thabet Abdeljawad, Dumitru Baleanu, Artion Kashuri, Faraidun Hamasalh, Praveen Agarwal   +5 more
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Analysis of COVID-19 and Cancer Data using New Half-Logistic Generated Family of Distributions [PDF]

Operations Research and Decisions, 2023
We focus on a specific sub-model of the proposed family that we call the new half logistic- Fréchet. This sub-model stems from a new generalisation of the half-logistic distribution which we call the new half-logistic-G. The novelty of proposing this new
Sadaf Khan, Muhammad H. Tahir, Farrukh Jamal   +2 more
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On a connection between the generalized incomplete gamma functions and their extensions [PDF]

The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1997
AbstractIn this paper we have proved that the generalized incomplete gamma functions and their extensions are mutually related through integral and differential representations.
Chaudhry, M. Aslam, Zubair, S. M.
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On certain generalized incomplete gamma functions

Journal of Computational and Applied Mathematics, 1998
\textit{M. A. Chaudhry} and \textit{S. M. Zubair} [J. Comput. Appl. Math. 55, No. 1, 99-124 (1994; Zbl 0833.33002)] have introduced a generalized incomplete gamma function \(\Gamma(\nu,x; z)\) which reduces to the incomplete gamma function when its variable \(z\) vanishes.
Miller, Allen R., Moskowitz, Ira S.
openaire   +2 more sources