Linearization and Related Formulas for q-Ultraspherical Polynomials

DOI10.1137/0512016zbMath0454.33006OpenAlexW2027713882MaRDI QIDQ3901792

David M. Bressoud

Publication date: 1981

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0512016

zbMATH Keywords

recurrence formulaq-ultraspherical polynomialslinearization formulageneralized Legendre polynomials of Fejer

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55)

Related Items (8)

Prediction of weakly stationary sequences on polynomial hypergroups ⋮ Hypercomplex systems originating from orthogonal polynomials ⋮ On the linearization problem for ultraspherical polynomials ⋮ Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials ⋮ Poisson kernel and multilinear generating functions of some orthogonal polynomials ⋮ Some expansions in basic Fourier series and related topics ⋮ Some formulas involving q-Jacobi and related polynomials ⋮ A q-integral representation of Rogers' q-ultraspherical polynomials and some applications

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