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Advances in Difference Equations, 2020 In this article, we employ the lower regularized incomplete gamma functions to demonstrate the existence and uniqueness of solutions for fractional differential equations involving nonlocal fractional derivatives (GPF derivatives) generated by ...
Zaid Laadjal +2 more
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Asymptotic Inversion of Incomplete Gamma Functions [PDF]
Mathematics of Computation, 1992 The normalized incomplete gamma functions are defined by \[ P(a,x)={1\over{\Gamma(a)}} \int_ a^ x t^{a-1} e^{-t}dt, \qquad Q(a,x)={1\over{\Gamma(a)}} \int_ x^{+\infty} t^{a-1} e^{-t} dt, \] where \(a>0\), \(x\geq 0\). The author is interested in the \(x\)-values that solves the following (equivalent) equations: \(P(a,x)=p\), \(Q(a,x)=q\), where \(a>0\)
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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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Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function
Mathematics, 2021 We apply our simultaneous contour integral method to an infinite sum in Prudnikov et al. and use it to derive the infinite sum of the Incomplete gamma function in terms of the Hurwitz zeta function.
Robert Reynolds, Allan Stauffer
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Asymptotic and exact series representations for the incomplete Gamma function [PDF]
, 2005 Using a variational approach, two new series representations for the incomplete Gamma function are derived: the first is an asymptotic series, which contains and improves over the standard asymptotic expansion; the second is a uniformly convergent series,
Abramowitz M. +6 more
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, 2016 Starting from equations obeyed by functions involving the first or the second derivatives of the biconfluent Heun function, we construct two expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta functions.
Gevorgyan, M. R. +4 more
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AIP Advances, 2011 By introducing a cutoff on the cumulative measure of a force, a unified kinetic theory is developed for both rigid-sphere and inverse-square force laws.
Yongbin Chang, Larry A. Viehland
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The Unit Teissier Distribution and Its Applications
Mathematical and Computational Applications, 2022 A bounded form of the Teissier distribution, namely the unit Teissier distribution, is introduced. It is subjected to a thorough examination of its important properties, including shape analysis of the main functions, analytical expression for moments ...
Anuresha Krishna +3 more
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
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Axioms, 2023 In the first part of this investigation, we considered the parameter differentiation of the Whittaker function Mκ,μx. In this second part, first derivatives with respect to the parameters of the Whittaker function Wκ,μx are calculated.
Alexander Apelblat +1 more
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