Results 21 to 30 of about 379,757 (307)
Photocatalytic degradation as Davidson–Cole relaxation in time domain [PDF]
Photocatalytic degradation processes of different materials are fitted with Mittag-Leffler function and incomplete gamma function, which are response functions for Cole–Cole relaxation and Davidson–Cole relaxation.
C. L. WANG
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Asymptotic and exact series representations for the incomplete Gamma function [PDF]
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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Characterization and analysis of generalized grey incomplete gamma noise [PDF]
The grey incomplete gamma distributions was established by one of the authors in a previous publication. In this article we use the Kondratiev characterization theorem to identify those via a suitable Laplace transform with holomorphic functions with ...
W. Bock, Lorenzo Cristofaro
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Asymptotic expansions for the incomplete gamma function in the transition regions [PDF]
We construct, for the first time, asymptotic expansions for the normalised incomplete gamma function $Q(a,z)=\Gamma(a,z)/\Gamma(a)$ that are valid in the transition regions, including the case $z\approx a$, and have simple polynomial coefficients.
G. Nemes, A. Daalhuis
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A Series Representation for the Hurwitz–Lerch Zeta Function
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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Distribution and probability of rainfall occurrence in Cáceres, Mato Grosso state, Brazil
Rainfall is an important meteorological element, and the knowledge on its historical records is relevant for monitoring the impacts caused by its prolonged excess or lack.
Jaqueline Aguilla Pizzato +5 more
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Definite Integral of Logarithmic Functions in Terms of the Incomplete Gamma Function
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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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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Extension of the Sophomore’s Dream
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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Actuarial values calculated using the incomplete Gamma function
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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