Results 21 to 30 of about 687,469 (294)

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   +2 more sources

A STUDY OF EXTENDED BETA, GAUSS AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]

International Journal of Apllied Mathematics, 2020
Mohd Ghayasuddin, Nabiullah Khan, Musharraf Ali   +2 more
openalex   +2 more sources

Some generalised extended incomplete beta functions and applications

Journal of New Results in Science, 2022
This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform, and beta distribution.
Oğuz Yağcı, Recep Şahіn, İ. Onur Kıymaz, Ayşegül Çetinkaya   +3 more
openalex   +5 more sources

Some Characterizations of the Extended Beta and Gamma Functions: Properties and Applications [PDF]

International Journal of Material and Mathematical Sciences, 2021
The article represents the elementary and general introduction of some characterizations of the extended gamma and beta Functions and their important properties with various representations. This paper provides reviews of some of the new proposals to extend the form of basic functions and some closed-form representation of more integral functions is ...
Bachioua Lahcene, Abramowitz Milton, Stegun Irene, A, S Agarwal, S Kalla, M Al Jarrah, Lee Carl, Famoye Felix, A Alzaatreh, C Lee, F Famoye, Arslan Nasir, Farrukh Jamal, Christophe Chesneau, Muhammad Tahir, A Awadala, A Elfaky, Aas Marouf, L Bachioua, H Shaker, L Bachioua, L Bachioua, L Bachioua, L Bachioua, Boudjelkha Mohamed, T Chaudhry, Aslam, M Bourguignon, R Silva, G Cordeiro, M Chaudhry, A Qadira, M Rafique, S Zubair, M Chaudhry, Aslam, S Zubair, Jtas Ferreira, Steel, Mfj, B Hosseini, M Afshari, M Alizadeh, K Kobayashi, C Lee, F Famoye, A Alzaatreh, Mehar Chand, Hanaa Hachimi, Rekha Rani   +50 more
openalex   +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.
Pramila Kumawat, Sangeeta Choudhary
openalex   +2 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

Bounds for the (45d,;d)-extended Beta function and certain consequences [PDF]

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
  +4 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   +3 more sources

A Comparative Analysis of Modified Extended Fractional Derivative and Integral Operators via Modified Extended Beta Function with Applications to Generating Functions

, 2022
This article object is to introduce new extension of the extended beta, Gauss hypergeometric, Appell hypergeometric and Lauricella hypergeometric functions. The new extension of the extended Riemann-Liouville, Caputo and Kober-Erdelyi fractional derivative and integral operators are also examined with their applications to generating functions by ...
Umar Muhammad ABUBAKAR
openalex   +3 more sources

Inequalities of extended (p,q)-beta and confluent hypergeometric function [PDF]

, 2017
In this present paper, we establish the log-convexity and Tur n type inequalities of extended $(p,q)$-beta functions. Also, we present the log-convexity, the monotonicity and Tur n type inequalities for extended $(p,q)$-confluent hypergeometric function by using the inequalities of extended $(p,q)$-beta functions.
Shahid Mubeen, Kottakkaran Sooppy Nisar, Gauhar Rahman, Muhammad Arshad   +3 more
openalex   +4 more sources