Results 111 to 120 of about 5,795,833 (227)

Moments of Student’s t-distribution: a unified approach

Modern Stochastics: Theory and Applications
In this paper, new closed form formulae for moments of the (generalized) Student’s t-distribution are derived in the one dimensional case as well as in higher dimensions through a unified probability framework.
Justin Lars Kirkby, Dang H. Nguyen, Duy Nguyen   +2 more
doaj   +1 more source

A Class of Generalized Hypergeometric Functions in Several Variables

, 1992
We study a class of generalized hypergeometric functions in several variables introduced by A. Korânyi. It is shown that the generalized Gaussian hypergeometric function is the unique solution of a system partial differential equations. Analogues of some
Zhimin Yan
core   +1 more source

Structural Properties and Integral Transforms of the k-Kummer Hypergeometric Function

Mathematics
In this paper, we study the k-Kummer hypergeometric function Mk(a,c;w), a generalization of the classical Kummer confluent hypergeometric function, arising as a solution of the k-confluent hypergeometric differential equation.
Enrique Alfonso Sánchez Pérez, Hilal Başak Karataş, Faruk Uçar, Durmuş Albayrak   +3 more
doaj   +1 more source

Some Properties of Extended Hypergeometric Function and Its Transformations

, 2018
There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent ...
Prakriti Rai, Aparna Chaturvedi
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Integration of Hypergeometric Superhyperbolic Functions Using Generalized Hypergeometric Function and Its Applications

The Nepali Mathematical Sciences Report
In this article , we explore the properties and relations of the hypergeometric superhyberbolic functions in terms of generalized hypergeometric functions. Then we express the hypergeometric superhyberbolic functions with the help of hypergeometric functions to obtain an integral representation related to classical results within the theory of ...
Pandel, Resham Prasad, Pahari, Narayan Prasad, Basnet, Ganesh Bahadur   +2 more
openaire   +2 more sources

Development of parallel computing algorithms for special mathematical functions in fractional calculus: Implementation with GPU and CUDA

Results in Engineering
This work presents the development of parallel computing algorithms for special mathematical function used in fractional calculus. A systematic and step-by-step procedure is proposed for parallelization of computation of Gamma function, 1-, 2-, 3-, and 4-
Chaitanya S. Jage, Vishwesh A. Vyawahare, Mukesh D. Patil   +2 more
doaj   +1 more source

A new generalization of generalized hypergeometric functions

Le Matematiche, 1997
In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special cases for the I -function have also been given.
openaire   +4 more sources

A study of generalized Mittag-Leffler-type function of arbitrary order

Demonstratio Mathematica
We present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
doaj   +1 more source

The Lauricella hypergeometric function

The problem of analytic continuation is considered for the Lauricella function F(N) D , a generalized hypergeometric functions of N complex variables.
Bezrodnykh S.I.
core   +1 more source

Extended generalized Hypergeometric probability distributions

A new class of discrete distributions namely extended generalized hypergeometric probability distributions (EGHPD) is introduced as a generalization of generalized hypergeometric probability distributions, generalized Gegenbauer distributions and ...
Kumar, C. Satheesh
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