The Addition Formula for Laguerre Polynomials

DOI10.1137/0508041zbMath0361.33002OpenAlexW1987024905MaRDI QIDQ4134239

Koornwinder, Tom H.

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1137/0508041

Mathematics Subject Classification ID

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

Related Items (12)

LÉVY–KHINTCHINE REPRESENTATION ON LOCAL STURM–LIOUVILLE HYPERGROUPS ⋮ Harmonic analysis associated with the multivariate Laguerre function ⋮ Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets ⋮ Hypergroups and quantum Bessel processes of non-integer dimensions ⋮ Coherent states quantization for generalized Bargmann spaces with formulae for their attached Berezin transforms in terms of the Laplacian on \(\mathbb C^{N }\) ⋮ On a hybrid laguerre-fourier transform ⋮ Exact point-distributions over the complex sphere ⋮ A complex approach to strict positive definiteness on spheres ⋮ Addition theorems via continued fractions ⋮ On zernicke transforms in spaces of distributions ⋮ Pseudo-differential operators associated with Laguerre hypergroups ⋮ Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter

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