Results 11 to 20 of about 170,209 (319)
On Extended Convex Functions via Incomplete Gamma Functions [PDF]
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 +3 more
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The resurgence properties of the incomplete gamma function, I [PDF]
Studies in Applied Mathematics, 2015 In this paper we derive new representations for the incomplete gamma function, exploiting the reformulation of the method of steepest descents by C. J. Howls (Howls, Proc. R. Soc. Lond. A 439 (1992) 373--396).
Gergő Nemes
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Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions [PDF]
, 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.
T. A. Ishkhanyan +4 more
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Efficient approximation of the incomplete gamma function for use in cloud model applications [PDF]
Geoscientific Model Development, 2010 This paper describes an approximation to the lower incomplete gamma function γ<i><sub>l</sub>(a,x)</i> which has been obtained by nonlinear curve fitting. It comprises a fixed number of terms and yields moderate accuracy
U. Blahak
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On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions [PDF]
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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A Generalisation of an Expansion for the Riemann Zeta Function Involving Incomplete Gamma Functions [PDF]
, 2009 We derive an expansion for the Riemann zeta function ζ(s) involving incomplete gamma functions with their second argument proportional to n2p, where n is the summation index and p is a positive integer.
R. B. Paris
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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,
Paolo Amore
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Inequalities for the incomplete gamma function [PDF]
Mathematical Inequalities & Applications, 2000 The incomplete gamma function \(\Gamma(a,x)\) is given by \(\Gamma (a,x)= \int^\infty_0e^{-t}t^{a-1}dt\) with \(a>0\), \(t>0\). The authors prove the following result: Let \(a\) be a positive parameter, and let \(q(x)\) be a function differentiable on \((0,\infty)\) such that \(\lim_{x\to\infty} x^ae ^{-x}q(x)=0\). If we put \(T(x)=1+(a-x)q(x)+xq'(x)\)
Pierpaolo Natalini, Biagio Palumbo
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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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Chebyshev series: Derivation and evaluation
PLoS ONE, 2023 In this paper we use a contour integral method to derive a bilateral generating function in the form of a double series involving Chebyshev polynomials expressed in terms of the incomplete gamma function. Generating functions for the Chebyshev polynomial
Robert Reynolds, Allan Stauffer
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