scientific article; zbMATH DE number 7621153

Publication date: 21 November 2022

Full work available at URL: https://digitalcommons.pvamu.edu/aam/vol16/iss2/22

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Chebyshev polynomials linearization coefficients generalized hypergeometric functions Watson's theorem symbolic algebraic computation classical Jacobi polynomials recurrenc relations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Uses Software

DLMF

Cites Work

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New linearization formulae for the products of Chebyshev polynomials of third and fourth kinds
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Finite singularities and hypergeometric solutions of linear recurrence equations
New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials
A unified approach for solving linear and nonlinear odd-order two-point boundary value problems
New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae
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Hypergeometric summation. An algorithmic approach to summation and special function identities
Connection coefficients between orthogonal polynomials and the canonical sequence: An approach based on symbolic computation
Linearization formulae for certain Jacobi polynomials
Expansions of Hypergeometric Functions in Hypergeometric Functions
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A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials
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Recurrences and explicit formulae for the expansion and connection coefficients in series of Bessel polynomials
Efficient Spectral-Galerkin Algorithms for Direct Solution of Second-Order Equations Using Ultraspherical Polynomials
New product and linearization formulae of Jacobi polynomials of certain parameters
Linearization of the Product of Jacobi Polynomials. I
Linearization of the Product of Jacobi Polynomials. II
Linearization of the Product of Jacobi Polynomials. III
Linearization and connection formulae involving squares of Gegenbauer polynomials
Some connection and linearization problems for polynomials in and beyond the Askey scheme

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