A recurrence relation for generalised connection coefficients

DOI10.3934/JCD.2024013MaRDI QIDQ6616291

Jing Gao, Arieh Iserles

Publication date: 9 October 2024

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

zbMATH Keywords

recurrence relationsconnection coefficientsorthogonal polynomialassociated Legendre functionorthogonal function

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) Recurrences (11B37)

Cites Work

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• Orthogonal systems with a skew-symmetric differentiation matrix
• On the convergence of generalized polynomial chaos expansions
• Modelling of dynamical systems based on almost orthogonal polynomials
• General linearization formulae for products of continuous hypergeometric-type polynomials
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Complex Chebyshev approximation for FIR filter design
• Orthogonal Polynomials in the Spectral Analysis of Markov Processes

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