Results 161 to 170 of about 8,499 (170)

Some Properties of Extended Hypergeometric Function and Its Transformations

Journal of the Indian Mathematical Society, 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 ...
Aparna Chaturvedi, Prakriti Rai
semanticscholar   +1 more source

Generalized Extended Confluent, Whittaker $k$-functions and Their Properties

European Journal of Pure and Applied Mathematics
The main objective of this research paper is to explore  further generalization of confluent hypergeometric and Whittaker functions by introducing a new parameter $k>0$, in generalized extended confluent hypergeometric and Whittaker functions defined by ...
Syed Ali Haider Shah, Mujahid Hussain Shah, Miguel J. Vivas-Cortez, S. Mubeen, Gauhar Rahman   +4 more
semanticscholar   +1 more source

Extension of Connecting Formulas on Hypergeometric Function

Turkish Journal of Computer and Mathematics Education
The Hypergeometric series is the extension of the geometric series and the Confluent Hypergeometric Function is the solution of the Hypergeometric Differential Equation.
Bhadra Raj Tripathi
semanticscholar   +1 more source

A NEW EXTENDED BETA FUNCTION INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION AND IT’S APPLICATIONS

Stardom Scientific Journals of Natural and Engineering Sciences
The main object of this paper is to introduce a new extension of the beta function involving the generalized Mittag-leffler function and study its important properties, like integral representation, summation formula, derivative formula, beta ...
Dr. Salem Barahmah
semanticscholar   +1 more source

On the Whittaker Function Extended by the Fox–Wright Function and Its Properties

Mathematics
This paper aims to obtain the Ψηξ-extended Whittaker function and its integral representations. This function is defined by using the Ψηξ-confluent hypergeometric function, which was recently extended in terms of the Fox–Wright function.
Ulfat Ansari, Musharraf Ali, Dojin Kim
semanticscholar   +1 more source

Systematic Search for Solvable Potentials from Biconfluent, Doubly Confluent, and Triconfluent Heun Equations

Symmetry
A transformation method was applied to the biconfluent (BHE), doubly confluent (DHE), and triconfluent (THE) Heun equations to generate and classify exactly solvable quantum mechanical potentials derived from them.
G. Lévai
semanticscholar   +1 more source

Extended Srivastava’s triple hypergeometric HA,p,q function and related bounding inequalities

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017
R. K. Parmar, T. Pogány, T. Pogány
semanticscholar   +2 more sources

CONFLUENT HYPERGEOMETRIC FUNCTIONS

, 2020
S. Mubeen, K. Nisar, G. Rahman, M. Arshad   +3 more
semanticscholar   +1 more source

A TYPE OF FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH THE (p,q)-EXTENDED τ-HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

, 2021
Owais Khan, Nabiullah Khan, Junesang Choi, Kottakkaran Sooppy Nisar   +3 more
openalex  

Relations between Lauricella’s triple hypergeometric function and the Srivastava function

, 2012
Junesang Choi, A. Hasanov, H. M. Srivastava   +2 more
semanticscholar   +1 more source