Results 11 to 20 of about 21,110 (236)

Applications of Confluent Hypergeometric Function in Strong Superordination Theory

open access: yesAxioms, 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 ...
Georgia Irina Oros   +2 more
doaj   +5 more sources

Fractional Integral of the Confluent Hypergeometric Function Related to Fuzzy Differential Subordination Theory

open access: yesFractal and Fractional, 2022
The fuzzy differential subordination concept was introduced in 2011, generalizing the concept of differential subordination following a recent trend of adapting fuzzy sets theory to other already-established theories.
Mugur Acu   +2 more
doaj   +5 more sources

The Confluent Hypergeometric Beta Distribution

open access: yesMathematics, 2023
The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is known in terms of its mathematical properties.
Saralees Nadarajah, Malick Kebe
doaj   +5 more sources

Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function

open access: yesJournal of Inequalities and Applications, 2018
In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively ...
Kottakkaran Sooppy Nisar   +4 more
doaj   +5 more sources

On the maximum value of a confluent hypergeometric function [PDF]

open access: yesComptes 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   +3 more sources

Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function

open access: yesJournal of Mathematics, 2021
In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and ...
Abdus Saboor   +4 more
doaj   +3 more sources

New Conditions for Univalence of Confluent Hypergeometric Function

open access: yesSymmetry, 2021
Since in many particular cases checking directly the conditions from the definitions of starlikeness or convexity of a function can be difficult, in this paper we use the theory of differential subordination and in particular the method of admissible ...
Georgia Irina Oros, Georgia Irina Oros
exaly   +3 more sources

Properties of Matrix Variate Confluent Hypergeometric Function Distribution [PDF]

open access: yesJournal of Probability and Statistics, 2016
We study matrix variate confluent hypergeometric function kind 1 distribution which is a generalization of the matrix variate gamma distribution. We give several properties of this distribution. We also derive density functions of X2-1/2X1X2-1/2, (X1+X2)-
Arjun K. Gupta   +2 more
doaj   +3 more sources

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

open access: yesFractal 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   +2 more
exaly   +3 more sources

Applications of Inequalities in the Complex Plane Associated with Confluent Hypergeometric Function

open access: yesSymmetry, 2021
The idea of inequality has been extended from the real plane to the complex plane through the notion of subordination introduced by Professors Miller and Mocanu in two papers published in 1978 and 1981. With this notion came a whole new theory called the
Georgia Irina Oros, Georgia Irina Oros
exaly   +3 more sources

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