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On Extended Convex Functions via Incomplete Gamma Functions

open access: yesJournal 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   +3 more
doaj   +1 more source

Some expansion formulas for incomplete H- and H̅-functions involving Bessel functions

open access: yesAdvances 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   +3 more
doaj   +1 more source

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

open access: yesAxioms, 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
doaj   +1 more source

Some new results for the Srivastava-Luo-Raina $\mathbb{M}$-transform pertaining to the incomplete H-functions

open access: yesAIMS Mathematics, 2020
The image formula of the incomplete H-functions is derived in this paper by using the Srivastava-Luo-Raina M-Transform. Also, we obtained the image formulae of some useful and important cases of incomplete H-function.
M. K. Bansal   +4 more
doaj   +1 more source

ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

open access: yesMalaysian 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
doaj   +1 more source

On an extension of generalized incomplete Gamma functions with applications [PDF]

open access: yesThe 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.
openaire   +2 more sources

New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions

open access: yesJournal 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   +5 more
doaj   +1 more source

Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters [PDF]

open access: yes, 1996
We consider the asymptotic behavior of the incomplete gamma functions gamma(-a,-z) and Gamma(-a,-z) as a goes to infinity. Uniform expansions are needed to describe the transition area z~a in which case error functions are used as main approximants.
Temme, Nico M.
core   +3 more sources

Основные свойства обобщенных гамма-функций [PDF]

open access: yes, 2016
Проблематика. Стаття присвячена вивченню основних властивостей нових узагальнених гамма-функцій, узагальнених неповних гамма-функцій, узагальнених дігамма-функцій для їх кращого застосування у прикладних науках, для обчислення інтегралів, відсутніх у ...
Virchenko, N. O.   +2 more
core   +1 more source

On a connection between the generalized incomplete gamma functions and their extensions [PDF]

open access: yesThe 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.
openaire   +2 more sources

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