Results 31 to 40 of about 250,944 (246)

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

A Note on the New Extended Beta and Gauss Hypergeometric Functions

Applied Mathematics & Information Sciences, 2018
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and the confluent hypergeometric function 1F1.
Goswami, Anjali, Jain, Shilpi K., Agarwal, Praveen, Araci, Serkan, Aracı, Serkan   +4 more
openaire   +2 more sources

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

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

Analysis of Generalized Bessel–Maitland Function and Its Properties

Axioms, 2023
In this article, we introduce the generalized Bessel–Maitland function (EGBMF) using the extended beta function and some important properties obtained.
Talha Usman, Nabiullah Khan, Francisco Martínez   +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

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

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   +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

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

Personalized Zebrafish Models for Fusion‐Positive Pediatric Sarcomas

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Clinical sequencing efforts have revolutionized our approaches to categorizing pediatric cancers in real time. This has dramatically improved our ability to profile pediatric tumors, identify actionable vulnerabilities, and influence clinical care.
Lisa H. Hall, Emma N. Harrison, Genevieve C. Kendall   +2 more
wiley   +1 more source