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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. In this paper, firstly we introduce the notion of
Yan Zhao +3 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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The resurgence properties of the incomplete gamma function I [PDF]
Studies in Applied Mathematics, 2014 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).
Nemes, Gergő
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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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On the integral operators pertaining to a family of incomplete I-functions
AIMS Mathematics, 2020 This paper introduces a new incomplete I-functions. The incomplete I-function is an extension of the I-function given by Saxena [1] which is a extension of a familiar Fox’s H-function. Next, we find the several interesting classical integral transform of
Manish Kumar Bansal, Devendra Kumar
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AIMS Mathematics, 2020 The image formula of the incomplete H-functions is derived in this paper by using the Srivastava-Luo-Raina M-Transform. Also, we obtained the image formulae of some useful and important cases of incomplete H-function.
M. K. Bansal +4 more
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Some fractional calculus findings associated with the incomplete I-functions
Advances in Difference Equations, 2020 In this article, several interesting properties of the incomplete I-functions associated with the Marichev–Saigo–Maeda (MSM) fractional operators are studied and investigated.
Kamlesh Jangid +5 more
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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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