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On Extended Convex Functions via Incomplete Gamma Functions
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
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Some expansion formulas for incomplete H- and H̅-functions involving Bessel functions
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
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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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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
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
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]
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
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
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Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters [PDF]
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.
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Основные свойства обобщенных гамма-функций [PDF]
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
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On a connection between the generalized incomplete gamma functions and their extensions [PDF]
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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