Results 31 to 40 of about 43,514 (215)

Recursive structure of the Gauß hypergeometric function and boundary/crosscap conformal block [PDF]

Modern Physics Letters A, 2021
The Gauß hypergeometric function shows a recursive structure which resembles those found in conformal blocks. We compare it with the recursive structure of the conformal block in boundary/crosscap conformal field theories that is obtained from the ...
Y. Nakayama
semanticscholar   +1 more source

Multiple orthogonal polynomials with respect to Gauss' hypergeometric function [PDF]

Studies in applied mathematics (Cambridge), 2020
A new set of multiple orthogonal polynomials of both type I and type II with respect to two weight functions involving Gauss' hypergeometric function on the interval (0,1) is studied.
Hélder Lima, A. Loureiro
semanticscholar   +1 more source

Generalized Gamma, Beta and Hypergeometric Functions Defined by Wright Function and Applications to Fractional Differential Equations

Cumhuriyet Science Journal, 2022
When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
Enes Ata, İ. Onur Kıymaz
doaj   +1 more source

Sufficient condition for q-starlike and q-convex functions associated with normalized gauss hypergeometric function

Filomat, 2022
The main object of this paper is to investigate and determine a sufficient condition for q-starlikeness and q-convexity for functions which are associated with normalized Gauss hypergeometric function.
M. Gour, P. Goswami, S. Joshi, T. Bulboacă   +3 more
semanticscholar   +1 more source

On the maximum value of a confluent hypergeometric function

Comptes Rendus. Mathématique, 2022
We study the maximum value of the confluent hypergeometric function with oscillatory conditions of parameters. As a consequence, we obtain new inequalities for the Gauss hypergeometric function.
Fejzullahu, Bujar Xh.
doaj   +1 more source

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

Open Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi, Goyal Rahul, Oros Georgia Irina, Agarwal Praveen, Momani Shaher   +4 more
doaj   +1 more source

Further study on the conformable fractional Gauss hypergeometric function [PDF]

, 2020
This paper presents a somewhat exhaustive study on the conformable fractional Gauss hypergeometric function (CFGHF). We start by solving the conformable fractional Gauss hypergeometric equation (CFGHE) about the fractional regular singular points $x=1 ...
M. Abul-Ez, M. Zayed, Ali Youssef
semanticscholar   +1 more source

Some Inequalities of Extended Hypergeometric Functions

Mathematics, 2021
Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain, Rahul Goyal, Praveen Agarwal, Juan L. G. Guirao   +3 more
doaj   +1 more source

A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms

Journal of Mathematics, 2022
The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya, Ekta Mittal, D. L. Suthar, Sunil Joshi   +3 more
doaj   +1 more source

A Note on Superspirals of Confluent Type

Mathematics, 2020
Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi, Rushan Ziatdinov, Kenjiro T. Miura   +2 more
doaj   +1 more source