Hypergeometric-type differential equations: second kind solutions and related integrals.

DOI10.1016/S0377-0427(03)00377-7zbMath1036.33005OpenAlexW2170521205MaRDI QIDQ1405176

A. Zarzo, André Ronveaux, IvÁn Area, Eduardo Paciência Godoy

Publication date: 25 August 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00377-7

zbMATH Keywords

orthogonal polynomialsspecial functionssecond order differential equations of hypergeometric type

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Generalized hypergeometric series, ({}_pF_q) (33C20) General theory of difference equations (39A05)

Related Items (10)

Adjoint difference equation for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices ⋮ Multiple integral inequalities and stability analysis of time delay systems ⋮ On the complex difference equation of hypergeometric type on non-uniform lattices ⋮ Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices ⋮ Generalizations of Rodrigues type formulas for hypergeometric difference equations on nonuniform lattices ⋮ ANALYTICAL SOLUTIONS OF THE KLEIN–FOCK–GORDON EQUATION WITH THE MANNING–ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL ⋮ Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution ⋮ Analytical bound-state solutions of the Schrödinger equation for the Manning–Rosen plus Hulthén potential within SUSY quantum mechanics ⋮ Rediscovering the contributions of Rodrigues on the representation of special functions ⋮ Zeros of Jacobi functions of second kind

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• Difference equation for associated polynomials on a linear lattice
• Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials
• Fourth-order differential equations for numerator polynomials

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