A note on Koornwinder's polynomials with weight function \((1-x)^ \alpha (1+x)^ \beta+ M\delta (x+1)+ N\delta (x-1)\)

DOI10.1007/BF02142499zbMath0855.33004OpenAlexW1965142562MaRDI QIDQ1911452

Harry Kiesel, Jet Wimp

Publication date: 22 January 1997

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02142499

zbMATH Keywords

generalized Jacobi polynomialsthree-term recurrence relationsecond order differential equationorthogonality measure

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)

Related Items

About families of orthogonal polynomials satisfying Heun's differential equation, Monotonicity of zeros of polynomials orthogonal with respect to an even weight function, Parameters of a positive chain sequence associated with orthogonal polynomials, A class of Markov chains with no spectral gap, Chain sequences and symmetric generalized orthogonal polynomials

Uses Software

• Maple

Cites Work

• Orthogonal polynomials and measures with end point masses
• Nonlinear recurrence relations and induced orthogonal polynomials
• Recurrence relations, continued fractions, and orthogonal polynomials
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