Results 1 to 10 of about 12,448 (236)

On some new inequalities and fractional kinetic equations associated with extended gauss hypergeometric and confluent hypergeometric function

International Journal of Mathematics for Industry, 2023
Fractional kinetic equations are of immense importance in describing and solving numerous intriguing problems of physics and astrophysics. Inequalities are important topics in special functions.
Ankita Chandola, Rupakshi Mishra Pandey
doaj   +2 more sources

Asymptotics of the Gauss hypergeometric function with large parameters, I [PDF]

, 2013
We obtain asymptotic expansions for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+ε3λ;z) as |λ| →∞ when the εj are finite by an application of the method of steepest descents, thereby extending previous results corresponding to εj = 0, ±1. By means of
R. B. Paris
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Explicit Expressions for Most Common Entropies [PDF]

Entropy, 2023
Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over ...
Saralees Nadarajah, Malick Kebe
doaj   +2 more sources

Hypergeometric decomposition of symmetric K3 quartic pencils. [PDF]

Res Math Sci, 2020
We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard--Fuchs differential equations; we count points using Gauss sums and rewrite this ...
Doran CF, Kelly TL, Salerno A, Sperber S, Voight J, Whitcher U.   +5 more
europepmc   +4 more sources

Triality inSU(2)Seiberg-Witten theory and Gauss hypergeometric function [PDF]

, 2010
Through AGT conjecture, we show how triality observed in \N=2 SU(2) N_f=4 QCD can be interpreted geometrically as the interplay among six of Kummer's twenty-four solutions belonging to one fixed Riemann scheme in the context of hypergeometric ...
Ta-Sheng Tai
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The expansion of a finite number of terms of the Gauss hypergeometric function of unit argument and the Landau constants [PDF]

, 2014
We obtain convergent inverse factorial expansions for the sum Sn(a, b; c) of the first n ≥ 1 terms of the Gauss hypergeometric function 2F1(a, b; c; 1) of unit argument. The form of these expansions depends on the location of the parametric excess s := c−
R. B. Paris
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Solution of fractional kinetic equations involving extended (k,τ)-Gauss hypergeometric matrix functions

AIMS Mathematics, 2022
In this work, we define an extension of the k-Wright ((k,τ)-Gauss) hypergeometric matrix function and obtain certain properties of this function. Further, we present this function to achieve the solution of the fractional kinetic equations.
Muajebah Hidan , Mohamed Akel, Hala Abd-Elmageed, Mohamed Abdalla   +3 more
doaj   +2 more sources

Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions [PDF]

Entropy
The Kullback–Leibler divergence (KL divergence) is a statistical measure that quantifies the difference between two probability distributions. Specifically, it assesses the amount of information that is lost when one distribution is used to approximate ...
Victor Nawa, Saralees Nadarajah
doaj   +2 more sources

Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2020
Qi F, Huang CJ.
europepmc   +2 more sources

Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients

Advances in High Energy Physics, 2018
We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. A. Ishkhanyan, T. A. Shahverdyan, A. M. Ishkhanyan   +2 more
doaj   +3 more sources