A finite class of orthogonal functions generated by Routh–Romanovski polynomials

DOI10.1080/17476933.2012.727406zbMath1288.33001OpenAlexW1993845733MaRDI QIDQ5404702

Mohammad Masjed-Jamei, Edmundo J. Huertas, Francisco Marcellán

Publication date: 28 March 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.727406

zbMATH Keywords

Fourier transformhypergeometric functionsParseval's identityCauchy's beta integralRouth-Romanovski orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (9)

Explicit Expressions of the Hua--Pickrell Semigroup ⋮ Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials ⋮ Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials ⋮ Asymptotic correlations with corrections for the circular Jacobi \(\beta\)-ensemble ⋮ Two finite classes of orthogonal functions ⋮ Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\) ⋮ Higher order derivatives of R-Jacobi polynomials ⋮ Exact equivalences and phase discrepancies between random matrix ensembles ⋮ Polyanalytic reproducing Kernels on the quantized annulus

Cites Work

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• On incomplete symmetric orthogonal polynomials of Jacobi type
• Orthogonal polynomials and second-order pseudo-spectral linear differential equations
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
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• On Jacobi and continuous Hahn polynomials
• Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials
• A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it

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