Results 51 to 60 of about 685,010 (143)

FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main objective of this paper is to introduce a new extension of extended Gamma and Beta functions in terms of generalized Wright function. Various properties of these extended functions are investigated such as integral representations, summation formulas and Mellin ...
Maisoon Ahmed Hussein Kulib, Fadhle Bin Fadhle Mohsen, Salem Saleh Barahmah   +2 more
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Convexity and inequalities related to extended beta and confluent hypergeometric functions

AIMS Mathematics, 2019
In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended confluent hypergeometric function.
Feng Qi, Kottakkaran Sooppy Nisar, Gauhar Rahman   +2 more
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Extended precision computation of the incomplete beta function

, 2018
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.
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The multicategory case of the sequential Bayesian pixel selection and estimation procedure [PDF]

A Bayesian technique for stratified proportion estimation and a sampling based on minimizing the mean squared error of this estimator were developed and tested on LANDSAT multispectral scanner data using the beta density function to model the prior ...
Dennis, T. B., Pore, M. D.
core   +1 more source

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

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 ...
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A note on extended beta function involving generalized Mittag-Leffler function and its applications

, 2022
The main object of this paper is to introduce a new extension of beta function involving generalized Mittag-leffler function and study its important properties, like integral representation, summation formula, derivative formula, beta distribution, transform formula.
Khan, Nabiullah, Husain, Saddam
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An new extended beta function

, 2017
Fil: Pucheta, Pablo I. Instituto Secundario Dr. Luis F. Leloir. Departamento de Matemáticas; Argentina.
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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 matrix function (KHMF).
Nabiullah Khan, Rakibul Sk, Saddam Husain   +2 more
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Bounds for novel extended beta and hypergeometric functions and related results

Journal of Inequalities and Applications
AbstractWe introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it. We use this definition to extend as well the Gaussian and Kummer’s confluent hypergeometric functions, for which we provide bounding inequalities.
Rakesh K. Parmar, Tibor K. Pogány
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Exploring the Extended Beta-Logarithmic Function: Matrix Arguments and Properties

Mathematics
The beta-logarithmic function substantially generalizes the standard beta function, which is widely recognized for its significance in many applications. This article is devoted to the study of a generalization of the classical beta-logarithmic function in a matrix setting called the extended beta-logarithmic matrix function.
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