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Extension of the Sophomore’s Dream
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this article, we are going to look at the convergence properties of the integral ∫01(ax+b)cx+ddx\int_0^1 {{{\left( {ax + b} \right)}^{cx + d}}dx}, and express it in series form, where a, b, c and d are real parameters.
Román Gábor
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Revista Brasileira de Zootecnia, 2012 The objective of this study was to evaluate the effects of genetic group and environmental factors, including farm of origin, season of calving and lactation number, on the individual lactation curves of 1,010 Holstein-Gyr, Guzerat-Holstein, Holstein ...
Joana Ribeiro da Glória +7 more
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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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Derangements and the 𝑝-adic incomplete gamma function
Transactions of the American Mathematical Society, 2022 We introduce a p p -adic analogue of the incomplete gamma function. We also introduce quantities (
O'Desky, Andrew, Richman, David Harry
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Definite Integral of Logarithmic Functions in Terms of the Incomplete Gamma Function
Mathematics, 2021 In this article we derive some entries and errata for the book of Gradshteyn and Ryzhik which were originally published by Bierens de Haan. We summarize our results using tables for easy reading and referencing.
Robert Reynolds, Allan Stauffer
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Inverse Generalized Gamma Distribution with it's properties [PDF]
المجلة العراقية للعلوم الاحصائية, 2020 : In this paper, we introduce a new life time distribution . This distribution based on the reciprocal of Generalized Gamma (GG) random variable . This new distribution is called the Inverse Generalized Gamma (IGG) Distribution in which some of the ...
Hayfa Abdul Jawad Saieed +2 more
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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.
Yan Zhao +3 more
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The Resurgence Properties of the Incomplete Gamma Function II [PDF]
Studies in Applied Mathematics, 2015 In this paper, we derive a new representation for the incomplete gamma function, exploiting the reformulation of the method of steepest descents by Howls 1992. Using this representation, we obtain numerically computable bounds for the remainder term of the asymptotic expansion of the incomplete gamma function with large a and fixed positive λ, and an ...
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Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic [PDF]
, 2007 In the article, sufficient and necessary conditions that a class of functions involving ratio of Euler’s gamma functions and originating from Wendel-Gautschi-Kershaw’s double inequalities are logarithmically completely monotonic are presented.
Qi, Feng, Guo, Bai-Ni
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On some inequalities for the incomplete gamma function [PDF]
Mathematics of Computation, 1997 Let p ≠ 1
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