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Some new inequalities for the beta function and certain ratios of beta functions
Results in Applied Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Suthakaran Ratnasingam, Steven G From
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Some results on the beta function and the incomplete beta function
Asian-European Journal of Mathematics, 2015The incomplete Beta function [Formula: see text] is defined for [Formula: see text] and [Formula: see text]. This definition was extended to negative integer values of [Formula: see text] and [Formula: see text] by Özçaḡ et al. using neutrix limits. Partial derivatives of the incomplete Beta function [Formula: see text] for negative integer values of [
Lin, Mongkolsery +2 more
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Properties of k-beta function with several variables
Open Mathematics, 2015 In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension ...
Abdur Rehman +2 more
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The American Mathematical Monthly, 1951
The First Eulerian Integral, called the Beta Function, is defined by B(x, y) =folt-1(1 -t)Y-ldt, which converges for x > 0 and y > 0. The well-known equation connecting the Beta and Gamma functions, B(x, y) = r(x)r(y)/r(x+y), is therefore valid only for positive real x and y. However, this relation is commonly used as a definition, to extend B(x, y) so
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The First Eulerian Integral, called the Beta Function, is defined by B(x, y) =folt-1(1 -t)Y-ldt, which converges for x > 0 and y > 0. The well-known equation connecting the Beta and Gamma functions, B(x, y) = r(x)r(y)/r(x+y), is therefore valid only for positive real x and y. However, this relation is commonly used as a definition, to extend B(x, y) so
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An Essay on Bion's Beta Function
The Psychoanalytic Review, 2013Among the major theorists studying the effect of the external world on the individual, none had a more ambiguous relationship to the psychic manifestations of the environment than Wilfred Bion. On the one hand his theory of the mind contained a new concept, beta elements, to depict the intrusion of the material world into the mental sphere, while on ...
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Determination of Beta-Cell Function: Ion Channel Function in Beta Cells
2012For the regulation of beta-cell function ion channels are of outstanding importance. Beta cells are specialized to convert changes in blood glucose concentration to an adequate secretory response. To achieve this, nutrient-induced alterations of electrical activity are directly coupled to changes in insulin release.
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Gamma Functions, Beta Functions, and Related
2021Topics of this chapter are gamma functions, beta functions, and related functions in the complex domain. The evaluations are based on various numerical techniques in dependence of the function argument. Related functions are the Pochhammer symbol, the psi or digamma function, the incomplete gamma function and its first and second derivative, the ...
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