Results 21 to 30 of about 6,204 (225)

k-Fractional Estimates of Hermite–Hadamard Type Inequalities Involving k-Appell’s Hypergeometric Functions and Applications

Fractal and Fractional, 2019
The main objective of this paper is to obtain certain new k-fractional estimates of Hermite−Hadamard type inequalities via s-convex functions of Breckner type essentially involving k-Appell’s hypergeometric functions.
Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor   +3 more
doaj   +1 more source

A Study of Generalized Hypergeometric Function and its Applications in Vary Disciplines

Shodh Sari
Elementary functions, Bessel functions, Legendre functions and many other special functions are included in the large family of mathematical functions known as generalized hypergeometric functions.
Mr. Mukesh Kumar Mahala, Dr. Rahul Sharma   +1 more
doaj   +1 more source

Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric Function

Fractal and Fractional, 2021
This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim, Hiba F. Al-Janaby, Omar Bazighifan   +2 more
doaj   +1 more source

Applications of Confluent Hypergeometric Function in Strong Superordination Theory

Axioms, 2022
In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into consideration certain classes of analytic functions depending on an extra parameter previously ...
Georgia Irina Oros, Gheorghe Oros, Ancuta Maria Rus   +2 more
openaire   +2 more sources

Upper and lower bounds of integral operator defined by the fractional hypergeometric function

Open Mathematics, 2015
In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions ...
Ibrahim Rabha W., Ahmad Muhammad Zaini, Al-Janaby Hiba F.   +2 more
doaj   +1 more source

Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

Journal of High Energy Physics, 2020
We show that almost all Feynman integrals as well as their coefficients in a Laurent series in dimensional regularization can be written in terms of Horn hypergeometric functions.
René Pascal Klausen
doaj   +1 more source

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

Fractal and Fractional, 2021
The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan, Shailesh Jaloree, Junesang Choi   +2 more
doaj   +1 more source

Extensions of Bicomplex Hypergeometric Functions and Riemann–Liouville Fractional Calculus in Bicomplex Numbers

Fractal and Fractional
In this paper, we present novel advancements in the theory of bicomplex hypergeometric functions and their applications. We extend the hypergeometric function to bicomplex parameters, analyse its convergence region, and define its integral and derivative
Ahmed Bakhet, Mohamed Fathi, Mohammed Zakarya, Ghada AlNemer, Mohammed A. Saleem   +4 more
doaj   +1 more source

On applications of hypergeometric functions

Journal of Computational and Applied Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Interpolation on Gauss hypergeometric functions with an application [PDF]

Involve, a Journal of Mathematics, 2018
To appear in Involve-A Journal of Mathematics, 16 ...
Arora, Hina Manoj, Sahoo, Swadesh Kumar
openaire   +3 more sources