A Spectral Identity on Jacobi Polynomials and its Analytic Implications

DOI10.4153/CMB-2017-056-8zbMath1400.33014OpenAlexW2750927081MaRDI QIDQ4684445

Ali Taheri, Richard Olu Awonusika

Publication date: 28 September 2018

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2017-056-8

zbMATH Keywords

Laplace-Beltrami operatorsymmetric spaceJacobi polynomialMaclaurin expansionJacobi coefficient

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Solutions to PDEs in closed form (35C05)

Related Items (9)

Maclaurin spectral results on rank one symmetric spaces of noncompact type ⋮ Semigroup asymptotics, the Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian ⋮ Unnamed Item ⋮ Operators of Laplace transform type and a new class of hypergeometric coefficients ⋮ Generalised heat coefficients and associated spectral zeta functions on complex projective spaces Pⁿ(ℂ) ⋮ On Jacobi polynomials \(\mathscr{P}_k^{(\alpha,\beta)}\) and coefficients \(c_j^{\ell}(\alpha,\beta)\) \((k\geq 0, \ell =5,6; 1\leq j\leq \ell; \alpha,\beta > -1)\) ⋮ On Jacobi polynomials and fractional spectral functions on compact symmetric spaces ⋮ On spectral identities involving Gegenbauer polynomials ⋮ Descriptions of fractional coefficients of Jacobi polynomial expansions

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