Results 11 to 20 of about 716,774 (241)

Euler Type Integrals and Integrals in Terms of Extended Beta Function [PDF]

Journal of Mathematics, 2014
We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and ...
Subuhi Khan, Mustafa Walid Al-Saad
doaj   +5 more sources

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +4 more sources

Fractional Calculus of Extended Wright Function with Beta Operator [PDF]

, 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.
Pramila Kumawat, Sangeeta Choudhary
openalex   +2 more sources

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]

Honam Mathematical Journal, 2011
The main object of this paper is to present generaliza-tion of extended beta function, extended hypergeometric and con-uent hypergeometric function introduced by Chaudhry et al. andobtained various integral representations, properties of beta func-tion, Mellin transform, beta distribution, dierentiation formulas, transform formulas, recurrence ...
Dong-Myung Lee, Arjun K. Rathie, Rakesh K. Parmar, Yong-Sup Kim   +3 more
openalex   +4 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.
Saima Naheed , Shahid Mubeen, Thabet Abdeljawad   +2 more
doaj   +2 more sources

Extende beta, hypergeometric and confluent hypergeometric functions [PDF]

arXiv, 2019
We aim to introduce a new extension of beta function and to study its important properties. Using this definition, we introduce and investigate new extended hypergeometric and confluent hypergeometric functions. Further, some hybrid representations of this extended beta function are derived which include some well known special functions and ...
Khan, N. U., Usman, T., Aman, M.
arxiv   +3 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, Tur n-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,.
Saiful R. Mondal
openalex   +6 more sources

On an extension of extended beta and hypergeometric functions [PDF]

Journal of Classical Analysis, 2017
Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluent hypergeometric functions. We systematically investigate several properties of each of these extended functions, namely their various integral representations ...
Rakesh K. Parmar, Purnima Chopra, R. B. Paris   +2 more
openalex   +4 more sources

Extended precision computation of the incomplete beta function

, 1983
In computing the incomplete beta function, numerical instability is encountered as the parameters increase. To provide a given number of significant digits, a multiple precision (MP) package for the computation of the incomplete beta function has been developed. Since MP arithmetic is time consuming, finding an efficient algorithm is important.
Leigh Allen Ihnen
  +6 more sources

Extended matrix variate gamma and beta functions

Journal of Multivariate Analysis, 2013
The gamma and beta functions have been generalized in several ways. The multivariate beta and multivariate gamma functions due to Ingham and Siegel have been defined as integrals having the integrand as a scalar function of the real symmetric matrix.
Daya K. Nagar, Alejandro Roldán-Correa, Arjun K. Gupta   +2 more
openalex   +3 more sources