Analytical properties of the two-variables Jacobi matrix polynomials with applications

DOI10.1515/dema-2021-0021zbMath1480.33005OpenAlexW3170055115MaRDI QIDQ2047486

Muajebah Hidan, Mohamed Abdalla

Publication date: 20 August 2021

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2021-0021

zbMATH Keywords

recurrence formulasJacobi matrix polynomialsgenerating matrix relations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (4)

ON THE CONSTRUCTION OF (p,k)-HYPERGEOMETRIC FUNCTION AND APPLICATIONS ⋮ Computation of Fourier transform representations involving the generalized Bessel matrix polynomials ⋮ Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus ⋮ Matrix-valued hypergeometric Appell-type polynomials

Uses Software

• mftoolbox

Cites Work

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• On Hankel transforms of generalized Bessel matrix polynomials
• Two variables Shivley's matrix polynomials
• Fractional and multivariable calculus. Model building and optimization problems
• 2-variable Laguerre matrix polynomials and Lie-algebraic techniques
• On Fourier–Bessel matrix transforms and applications
• Special matrix functions: characteristics, achievements and future directions
• Some new results for Jacobi matrix polynomials
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