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Generalized Euler's beta matrix and related functions

AIP Conference Proceedings, 2013
In this paper, we define generalizations of Euler's beta, gamma, hypergeometric and confluent hypergeometric matrix functions. Then, recurrence relations and integral representations are derived for generalizations of Euler's beta and gamma matrix functions.
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A generalization of the Euler beta function and applications

gmj, 2011
Abstract A generalization of the Euler beta function to the case of a multi-dimensional variable is defined. In this context, the original beta function is a function of a two-dimensional variable. An analogue of the Euler formula for this new function is derived for the case of a three-dimensional variable. Based on the derived formula,
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COMPARISON BETWEEN POLYNOMIAL, EULER BETA-FUNCTION AND EXPO-RATIONAL B-SPLINE BASES

AIP Conference Proceedings, 2011
Euler Beta‐function B‐splines (BFBS) are the practically most important instance of generalized expo‐rational B‐splines (GERBS) which are not true expo‐rational B‐splines (ERBS). BFBS do not enjoy the full range of the superproperties of ERBS but, while ERBS are special functions computable by a very rapidly converging yet approximate numerical ...
Arnt R. Kristoffersen, Lubomir T. Dechevsky, Arne Lakså, Bo̸rre Bang, George Venkov, Ralitza Kovacheva, Vesela Pasheva   +6 more
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Derivation of the fine-structure formula utilizing the regularity properties of the Euler beta function

Russian Physics Journal, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I

Mathematics of the USSR-Izvestiya, 1990
When working with a set of linear functions and the configration of hyperplanes they define, one encounters a matrix of multidimensional hypergeometric integrals. We give a formula which expresses the determinant of this matrix in terms of critical values of the linear functions restricted to the configuration. Bibliography: 26 titles.
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Euler gamma function, Pochhammer symbols and Euler beta function

2021
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RESULTS OF L. EULER ON THE THEORY OF THE BETA FUNCTION

История науки и техники, 2022
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An Extension of Beta Function by Using Wiman’s Function

Axioms, 2021
Rahul Goyal, Shaher M Momani, Praveen Agarwal   +2 more
exaly  

THEORY OF THE BETA FUNCTION IN L. EULER’S "INTEGRAL CALCULUS"

История науки и техники, 2023
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