Results 41 to 50 of about 690,349 (272)

EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

Honam Mathematical Journal, 2014
Summary: Recently several authors have extended the gamma function, beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions.
Choi, Junesang, Rathie, Arjun K., Parmar, Rakesh K.   +2 more
openaire   +2 more sources

Fractional calculus of generalized Lommel-Wright function and its extended Beta transform

AIMS Mathematics, 2021
In this work, we apply generalized Saigo fractional differential and integral operators having $ k $-hypergeometric function as a kernel, to extended Lommel-Wright function. The results are communicated in the form of the k-Wright function and are utilized to compute beta transform.
Saima Naheed, Shahid Mubeen, Thabet Abdeljawad   +2 more
openaire   +2 more sources

A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function [PDF]

Sahand Communications in Mathematical Analysis
The aim of the present investigation is to deal with integrals, which are connected with the extended generalized Mittag-Leffler function, Jacobi polynomial, and Bessel-Maitland function.
Nirmal Kumar Jangid, Sunil Joshi, Ekta Mittal   +2 more
doaj   +1 more source

On some new inequalities and fractional kinetic equations associated with extended gauss hypergeometric and confluent hypergeometric function

International Journal of Mathematics for Industry, 2023
Fractional kinetic equations are of immense importance in describing and solving numerous intriguing problems of physics and astrophysics. Inequalities are important topics in special functions.
Ankita Chandola, Rupakshi Mishra Pandey
doaj   +1 more source

Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

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

Vanishing of the four-loop charge renormalization function in N=4 SYM theory

, 2011
We calculate the renormalization constants of the maximally extended N=4 supersymmetric Yang-Mills theories in the dimensional reduction scheme up to four loops. We have found, that the beta-function is zero both from gauge and Yukawa vertices.Comment: 6
Velizhanin, V. N.
core   +1 more source

Directed Polymers with Random Interaction : An Exactly Solvable Case - [PDF]

, 1993
We propose a model for two $(d+1)$-dimensional directed polymers subjected to a mutual $\delta$-function interaction with a random coupling constant, and present an exact renormalization group study for this system.
B. Derrida, B. Derrida, B. Derrida, B. K. Chakrabarti, D. J. Amit, D. P. Foster, D. P. Foster, D. R. Nelson, D. R. Nelson, D. R. Nelson, D. S. Fisher, E. I. Shaknovitch, F. Igloi, G. Forgacs, G. Iori, G. Parisi, I. Richards, J. F. Nagle, J. J. Rajasekaran, J. M. Kim, J. M. Kim, J. Machta, K. F. Freed, M. E. Fisher, M. Kardar, M. Kardar, M. Kardar, M. Mezard, M. Mézard, P. Le Doussal, P. M. Binder, R. Lipowsky, S. F. Edwards, S. M. Bhattacharjee, S. M. Bhattacharjee, S. M. Bhattacharjee, S. M. Bhattacharjee, S. M. Bhattacharjee, Somendra M. Bhattacharjee, Sutapa Mukherji, T. C. Halsey, T. C. Lubensky, T. Izuyama, T. Natterman, Y. Kantor   +44 more
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Bounds for the (p, ν)-extended beta function and certain consequences

Journal of mathematical inequalities, 2023
Our main goal in this article is to present both upper and lower bounds for the (p, nu)extended Gauss' hypergeometric function and the related confluent hypergeometric (or Kummer's) function, the modified Bessel function of the second kind, with the extended Gautschi- Pinelis inequality (upper bounds) and with the aid of the classical Bernoulli ...
Gradimir V. Milovanović, Rakesh K. Parmar, Tibor K. Pogány   +2 more
openaire   +2 more sources

Fractional Calculus of Extended Wright Function with Beta Operator

, 2023
{"references": ["Shiri, B., & Baleanu, D. (2022). A general fractional pollution model for lakes. Communications on Applied Mathematics and Computation, 1-26.", "Shiri, B., Wu, G. C., & Baleanu, D. (2021). Terminal value problems for the nonlinear systems of fractional differential equations.
Kumawat, Pramila, Choudhary, Sangeeta
openaire   +1 more source

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +1 more source