New linearization formulae for the products of Chebyshev polynomials of third and fourth kinds

DOI10.1216/RMJ-2016-46-2-443zbMath1360.33013MaRDI QIDQ309465

Waleed M. Abd-Elhameed, Eid H. Doha

Publication date: 7 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1469537472

zbMATH Keywords

recurrence relationlinearization coefficientsChebyshev polynomials of the third and fourth kind

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)

Related Items (8)

New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations ⋮ Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions ⋮ Linearization formulae for certain Jacobi polynomials ⋮ Newfangled linearization formula of certain nonsymmetric Jacobi polynomials: numerical treatment of nonlinear Fisher's equation ⋮ Certain class of generating functions for the incomplete hypergeometric functions ⋮ Unnamed Item ⋮ New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials ⋮ New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae

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