Results 41 to 50 of about 527,794 (256)
ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj +1 more source
Univalence of Gaussian and confluent hypergeometric functions [PDF]
Proceedings of the American Mathematical Society, 1990 Conditions are determined for the univalence convexity and starlikeness of Gaussian and confluent hypergeometric functions. In addition, subordination results are obtained for these classes of functions.
Petru T. Mocanu, Sanford S. Miller
openaire +2 more sources
Evaluations of some terminating hypergeometric 2F1(2) series with applications [PDF]
, 2018 Explicit expressions for the hypergeometric series 2F1(-n, a; 2a±j; 2) and 2F1(-n, a;-2n±j; 2) for positive integer n and arbitrary integer j are obtained with the help of generalizations of Kummer's second and third summation theorems obtained earlier ...
Kim, Yongsup +2 more
core +1 more source
Journal 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 +1 more source
On the Volterra-Type Fractional Integro-Differential Equations Pertaining to Special Functions
Fractal and Fractional, 2020 In this article, we apply an integral transform-based technique to solve the fractional order Volterra-type integro-differential equation (FVIDE) involving the generalized Lorenzo-Hartely function and generalized Lauricella confluent hypergeometric ...
Yudhveer Singh +4 more
doaj +1 more source
Generalized Dirac Oscillator in Cosmic String Space-Time
Advances in High Energy Physics, 2018 In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential ...
Lin-Fang Deng +3 more
doaj +1 more source
On the computation of confluent hypergeometric functions for large imaginary part of parameters b and z [PDF]
, 2016 The final publication is available at http://link.springer.com/chapter/10.1007%2F978-3-319-42432-3_30We present an efficient algorithm for the confluent hypergeometric functions when the imaginary part of b and z is large.
Arratia Quesada, Argimiro Alejandro +1 more
core +1 more source
Journal of New Theory, 2022 The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
doaj +1 more source
A Note on the New Extended Beta Function with Its Application
Journal of Mathematics, 2021 The purpose of this research is to provide a systematic review of a new type of extended beta function and hypergeometric function using a confluent hypergeometric function, as well as to examine various belongings and formulas of the new type of ...
Vandana Palsaniya +3 more
doaj +1 more source
A study on Horn matrix functions and its confluent cases [PDF]
arXiv, 2022 In this paper, we give the matrix version of Horn's hypergeometric function and its confluent cases. We also discuss the regions of convergence, the system of matrix differential equations of bilateral type, differential formulae and infinite summation formulae satisfied by these hypergeometric matrix functions.
arxiv