Special function representations of the Poisson kernel on hyperbolic spaces

DOI10.1007/s10910-017-0833-xzbMath1386.33012OpenAlexW2768538356MaRDI QIDQ1742809

Richard Olu Awonusika

Publication date: 12 April 2018

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-017-0833-x

zbMATH Keywords

special functionsPoisson kernelassociated Legendre functionhyperbolic upper half-spacePoincaré unit ball

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral transforms of special functions (44A20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (3)

Maclaurin spectral results on rank one symmetric spaces of noncompact type ⋮ Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method ⋮ On spectral identities involving Gegenbauer polynomials

Cites Work

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