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On the Application of a Hypergeometric Identity to Generate Generalized Hypergeometric Reduction Formulas

Axioms
We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided.
Juan Luis González-Santander
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The Generalized Incomplete Gamma Function as sum over Modified Bessel Functions of the First Kind

Journal of Computational and Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Una distribución generalizada tipo gamma que involucra la función hipergeométrica confluente de segunda clase A gamma type distribution involving a confluent hypergeometric function of the second kind

Revista Técnica de la Facultad de Ingeniería, 2010
En el presente trabajo se obtiene una nueva distribución tipo gamma que involucra a la función hipergeométrica confluente de segunda clase. Una forma generalizada de la función gamma incompleta y su forma complementaria son introducidas para obtener ...
Johan Fereira, Susana Salinas
doaj  

Applications of the Generalized Marcum Q-Function to Janowski Subclasses of Harmonic Functions

Fractal and Fractional
In this work, we provide a convolution type operator Λν,b that is produced by the generalized Marcum Q-function and examine how it maps to various Janowski-type subclasses of harmonic univalent functions.
Mohammad Faisal Khan, Mohammed AbaOud
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On the Containment of the Unit Disc Image by Analytical Functions in the Lemniscate and Nephroid Domains

Mathematics
Suppose that A1 is a class of analytic functions f:D={z∈C:|z|
Saiful R. Mondal
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Rational approximations of the Arrhenius and general temperature integrals, expansion of the incomplete gamma function

Chemical Engineering Communications
When analyzing materials non-isothermally using the Arrhenius equation under linear heating, a temperature integration is necessary. While the frequency factor in this equation is typically assumed to be constant, it can actually vary with temperature for certain solid-state reactions.
Aghili, Alireza, Arabli, Vahid, Shabani, Amir Hossein   +2 more
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Some results on a new generalized incomplete gamma function

Revista Técnica de la Facultad de Ingeniería, 2010
\textit{F. Al-Musallam} and the reviewer [Integral Transforms Spec. Funct. 7, No.~3-4, 175-190 (1998; Zbl 0922.33001) and Appl. Anal. 66, No. 1, 173-187 (1997; Zbl 0886.33002)] have defined a class of generalized gamma and incomplete gamma functions and obtained a number of properties including asymptotic expansions.
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The Generalized Incomplete Gamma Functions

, 2015
Engineering and physics demand a through knowledge of applied mathematics and a good understanding of special functions. These functions commonly arise in such areas of applications as heat conduction, communication systems, electro-optics, approximation theory, probability theory, and electric circuit theory, among others.
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The Generalized Incomplete Gamma Functions [PDF]

, 2001
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The development and implementation of odd-exponential-ailamujia distribution in python: properties and application in reliability engineering. [PDF]

Sci Rep
Alballa T, Ramzan Q, Amin M, Almutairi M, El-Wahed Khalifa HA.   +4 more
europepmc   +1 more source