The modification of classical hahn polynomials of a discrete variable

DOI10.1080/10652469508819081zbMath0849.33007OpenAlexW2081897023WikidataQ126255835 ScholiaQ126255835MaRDI QIDQ4870092

Francisco Marcellán, Renato Álvarez-Nodarse

Publication date: 17 March 1996

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/41777

zbMATH Keywords

tridiagonal matricesdiscrete measureHahn polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

On the Krall-type discrete polynomials ⋮ Discrete semiclassical orthogonal polynomials of class 2 ⋮ Limit relations between generalized orthogonal polynomials ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ \Delta -Coherent Pairs and Orthogonal Polynomials of a Discrete Variable ⋮ Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas ⋮ Limit relations between \(q\)-Krall type orthogonal polynomials ⋮ Second order difference equations for certain families of `discrete' polynomials

Cites Work

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• Orthogonal polynomials and measures with end point masses
• On the assignment of a Dirac-mass for a regular and semi-classical form
• Difference equations for generalized Meixner polynomials
• On a difference equation for generalizations of Charlier polynomials
• Difference equation for modifications of Meixner polynomials
• THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)

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