A formulation of the Jacobi coefficients \(c^l_j(\alpha, \beta)\) via Bell polynomials

DOI10.22034/aot.1705-1163OpenAlexW2744993357MaRDI QIDQ1679313

Ali Taheri, Stuart Day

Publication date: 9 November 2017

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/advances-in-operator-theory/volume-2/issue-4/A-formulation-of-the-Jacobi-coefficients-cl_jalpha-beta-via-Bell/10.22034/aot.1705-1163.full

zbMATH Keywords

Laplace-Beltrami operatorheat kernelBell polynomialsspectral functionsrank one symmetric spacesJacobi coefficientsSchwartzian kernels

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General theory of ordinary differential operators (47E05) Series solutions to PDEs (35C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Solutions to PDEs in closed form (35C05)

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