Computing expansions coefficients for Laguerre polynomials

DOI10.1080/10652469.2020.1815727zbMath1473.42028OpenAlexW3083997024MaRDI QIDQ4959459

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Publication date: 13 September 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1815727

zbMATH Keywords

orthogonal polynomialsgeneralized hypergeometric functionsexpansions of polynomialslinearization and connection problems

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (1)

Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas

Cites Work

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• Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions
• Products of several Jacobi or Laguerre polynomials
• The product of several Hermite or Laguerre polynomials
• A unified theory of polynomial expansions and their applications involving Clebsch-Gordan type linearization relations and Neumann series
• Expansions in series of orthogonal hypergeometric polynomials
• Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials
• Linearization formulae for certain Jacobi polynomials
• Generalized linearization problems
• Generalised hypergeometric series^NF (x₁,...,x_N) arising in physical and quantum chemical applications
• On the “linearization” of the products of classical orthogonal polynomials
• Orthogonal Polynomials and a Discrete Boundary Value Problem I
• General linearization formulae for products of continuous hypergeometric-type polynomials
• Linearization of the Product of Jacobi Polynomials. II
• Quantum information entropies and orthogonal polynomials
• Some connection and linearization problems for polynomials in and beyond the Askey scheme
• Linearization coefficients for the Jacobi polynomials

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