scientific article; zbMATH DE number 7041482

zbMath1408.33004MaRDI QIDQ4629013

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Publication date: 25 March 2019

Full work available at URL: http://bmathaa.org/repository/docs/BMAA8-4-11.pdf

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zbMATH Keywords

gamma matrix \(k\)-function, beta matrix \(k\)-function, hypergeometric matrix \(k\)-function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (2)

SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS ⋮ Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus

Cites Work

• Bessel functions of matrix argument
• On the hypergeometric matrix function
• Laguerre matrix polynomials and systems of second-order differential equations
• Orthogonal matrix polynomials and systems of second order differential equations
• Orthogonal matrix polynomials and higher-order recurrence relations
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Contiguous function relations for \(k\)-hypergeometric functions
• The special functions and their approximations. Vol. I, II
• Partial differential equations for hypergeometric functions of two argument matrices
• Some properties of gamma and beta matrix functions
• Markov's Theorem for Orthogonal Matrix Polynomials
• CONVERGENCE ALMOST EVERYWHERE OF OPERATOR AVERAGES
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