Results 1 to 10 of about 1,232,344 (309)
An Extension of Beta Function by Using Wiman’s Function
Axioms, 2021 The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman.
Rahul Goyal +3 more
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Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce a relatively new class, $\mathcal{\mathcal{B}}_{1}^\beta(\alpha)$, namely the class of Beta-Bazilevi\v{c} function is generated by the function Bazilevi\v{c} $\mathcal{B}_{1}(\alpha)$.
Sa'adatul Fitri, Mohamad Muslikh
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Derivatives of the Incomplete Beta Function
Journal of Statistical Software, 1998 The incomplete beta function is defined as where Beta(p, q) is the beta function. Dutka (1981) gave a history of the development and numerical evaluation of this function. In this article, an algorithm for computing first and second derivatives of Ix,p,q
James F. Robison-Cox, Robert J. Boik
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Certain integral representations involving hypergeometric functions in two variables [PDF]
Mathematica Moravica, 2022 Various integral representations of hypergeometric functions have been introduced and investigated due to their important applications in divers fields.
Younis Jihad +3 more
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Beta functions in the quantum field theory [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: The running of the coupling constant in various Quantum Field Theories and a possible behaviour of the beta function are illustrated.
Nicola Fabiano
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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 ...
Ayşegül Çetinkaya +3 more
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Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family
Fractal and Fractional, 2022 The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
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Inequalities for the Beta function [PDF]
Mathematical Inequalities & Applications, 2015 Let g(x):= (e/x)xΓ(x+1) and F(x,y):= g(x)g(y)/g(x+y). Let Dx,y (k) be the k th differential in Taylor's expansion of logF(x,y) . We prove that when (x,y) ∈ R+ 2 one has (-1)k-1Dx,y (k) (X,Y) > 0 for every X,Y ∈ R+, and that when k is even the conclusion holds for every X,Y ∈ R with (X,Y) = (0,0).
Grenié, Loic Andre Henri +1 more
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New fractional integral inequalities via Euler's beta function
Open Mathematics, 2023 In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
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The Logarithmic Transform of a Polynomial Function Expressed in Terms of the Lerch Function
Mathematics, 2021 This is a collection of definite integrals involving the logarithmic and polynomial functions in terms of special functions and fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
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