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A note on polylogarithms and incomplete gamma function [PDF]
, 2020 In this paper, we firstly introduce the polylogarithms and incomplete gamma function. Then, we claim that there is a relation between polylogarithms and a generalization of incomplete gamma function. Secondly, we give a formula related to polylogarithms.
Aykut Aygüneş, Aygüneş, Aykut Ahmet
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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality [PDF]
, 2006 In the article, the logarithmically complete monotonicity of a class of functions involving the Euler’s gamma function are proved, a class of the first Kershaw type double inequalities are established, and the first Kershaw’s double inequality and ...
Qi, Feng
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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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A Series Representation for the Hurwitz–Lerch Zeta Function
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Actuarial values calculated using the incomplete Gamma function
Statistica, 2013 The complete expectation-of-life for a person and the actuarial present value of continuous life annuities are defined by integrals. In all of them at least one of the factors is a survival function value ratio. If de Moivre’s law of mortality is chosen,
Giovanni Mingari Scarpello +2 more
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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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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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