Exact and simple formulas for the linearization coefficients of products of orthogonal polynomials and physical application

DOI10.1016/j.cam.2023.115368arXiv2302.00656OpenAlexW4378648339MaRDI QIDQ6049294

A. D. Alhaidari

Publication date: 15 September 2023

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

Full work available at URL: https://arxiv.org/abs/2302.00656

zbMATH Keywords

orthogonal polynomialslinearization coefficientsconnection coefficientsnonlinear couplingthree-term recursion relationClebsch-Gordan-type coefficients

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of hypergeometric functions (33C90)

Cites Work

• On linearization and connection coefficients for generalized Hermite polynomials
• Orthogonal polynomials and their applications. Proceedings of an international symposium (2nd) held in Segovia, Spain, Sept. 22-27, 1986
• Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22--29, 1998. Dedicated to the memory of Günther Hämmerlin
• Linearization and connection coefficients for hypergeometric-type polynomials
• Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
• Connection coefficients for Laguerre--Sobolev orthogonal polynomials.
• Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3--6, 2018
• Clebsch-Gordan-type linearisation relations for the products of Laguerre polynomials and hydrogen-like functions
• General linearization formulae for products of continuous hypergeometric-type polynomials
• Linearization of Arbitrary products of classical orthogonal polynomials
• Some connection and linearization problems for polynomials in and beyond the Askey scheme
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