Results 1 to 10 of about 73,154 (116)
Lévy Processes Linked to the Lower-Incomplete Gamma Function
Fractal and Fractional, 2021 We start by defining a subordinator by means of the lower-incomplete gamma function. This can be considered as an approximation of the stable subordinator, easier to be handled in view of its finite activity.
Luisa Beghin, Costantino Ricciuti
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Monotonicity of the incomplete gamma function with applications
Journal of Inequalities and Applications, 2016 In the article, we discuss the monotonicity properties of the function x → ( 1 − e − a x p ) 1 / p / ∫ 0 x e − t p d t $x\rightarrow (1-e^{-ax^{p}} )^{1/p}/\int_{0}^{x}e^{-t^{p}}\,dt$ for a , p > 0 $a, p>0$ with p ≠ 1 $p\neq1$ on ( 0 , ∞ ) $(0, \infty ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
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New upper and lower bounds for the upper incomplete gamma function
Results in Applied MathematicsSome new upper and lower bounds for the upper incomplete gamma function Γ(a,x) are presented. Some of the bounds are given for all real x>0 and some are for only certain combinations of a and x.
Steven G. From, Suthakaran Ratnasingam
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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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Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
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Some expansion formulas for incomplete H- and H̅-functions involving Bessel functions
Advances in Difference Equations, 2020 In this paper, we assess an integral containing incomplete H-functions and utilize it to build up an expansion formula for the incomplete H-functions including the Bessel function.
Sapna Meena +3 more
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Some generalised extended incomplete beta functions and applications
Journal of New Results in Science, 2022 This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform ...
Ayşegül Çetinkaya +3 more
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Monotonicity and inequalities involving the incomplete gamma function
Journal of Inequalities and Applications, 2016 In the article, we deal with the monotonicity of the function x → [ ( x p + a ) 1 / p − x ] / I p ( x ) $x\rightarrow[ (x^{p}+a )^{1/p}-x]/I_{p}(x)$ on the interval ( 0 , ∞ ) $(0, \infty)$ for p > 1 $p>1$ and a > 0 $a>0$ , and present the necessary and ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
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Photocatalytic degradation as Davidson–Cole relaxation in time domain [PDF]
Journal of Advanced Dielectrics, 2019 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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Distribution and probability of rainfall occurrence in Cáceres, Mato Grosso state, Brazil
Pesquisa Agropecuária Tropical, 2012 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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