Results 11 to 20 of about 6,414,890 (238)

Bivariate Extended Confluent Hypergeometric Function Distribution

American Journal of Mathematical and Management Sciences, 2013
SYNOPTIC ABSTRACT In this article, we define a bivariate extended confluent hypergeometric function density in terms of extended confluent hypergeometric function. We also derive several of its properties and results in terms of extended beta, extended confluent hypergeometric, and modified Bessel functions.
Alejandro Roldán-Correa, Daya Nagar
exaly   +5 more sources

Fractional Calculus of the Extended Hypergeometric Function [PDF]

Applied Mathematics and Nonlinear Sciences, 2020
Abstract Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the ...
Sahin, Recep, Yagci, Oguz
openaire   +4 more sources

An extended Mittag Leffler function in terms of extended Wright complex hypergeometric function

Alexandria Engineering Journal
Advanced mathematical ideas such as the fractional integral operator and the Mittag-Leffler (M-L) function offer a strong foundation for comprehending complicated systems with memory and fractional dynamics.
Noreen Saba, Sana Maqsood, Muhammad Asghar, Ghulam Mustafa, Faheem Khan   +4 more
doaj   +3 more sources

Note on extended hypergeometric function

Proyecciones (Antofagasta), 2019
In this paper, we present an extension of the classical hypergeometric functions using extended gamma function due to Jumarie and obtained some properties.
Ranjan Kumar Jana, Bhumika Maheshwari, Ajay Kumar Shukla   +2 more
openaire   +5 more sources

Inequalities of extended beta and extended hypergeometric functions [PDF]

Journal of Inequalities and Applications, 2017
This paper studies the log-convexity of the extended beta functions. As a consequence, Turán-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,. The particular cases of those results also gives the Turán-type inequalities
Mondal, Saiful, Saiful R. Mondal
openaire   +8 more sources

A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]

, 2005
We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
core   +9 more sources

The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties

Journal of Innovative Applied Mathematics and Computational Sciences
In this paper, we introduce the extended Exton's hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ using the extended beta function given by \"{O}zergin et al.
Ahmed Atash, Hussein Bellehaj
doaj   +2 more sources

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

Journal 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, Gauhar Rahman, Hazrat Ali, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +4 more
doaj   +2 more sources

A new Generalization of Extended Beta and Hypergeometric Functions

, 2018
A new generalization of extended beta function and its various properties,integral representations and distribution are given in this paper. In addition, we establishthe generalization of extended hypergeometric and con uent hypergeometric functionsusing the newly extended beta function.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Shahid Mubeen   +2 more
openaire   +3 more sources

Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions [PDF]

MethodsX
Special Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi, Hiba F. Al-Janaby, Firas Ghanim   +2 more
doaj   +2 more sources