Generating functions for Hermite polynomials of arbitrary order

DOI10.1016/S0375-9601(97)00853-0zbMath0949.33007WikidataQ127571278 ScholiaQ127571278MaRDI QIDQ1966515

Francisco M. Fernández

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Coherent states (81R30)

Related Items (6)

The role of Jacobi polynomials in the theory of Hermite and Laguerre 2D polynomials ⋮ Generalized Hermite polynomials associated with functions of parabolic cylinder ⋮ Reply to: ``Generating functions for Hermite polynomials of arbitrary order by F. M. Fernández ⋮ Deconvolution of 3-D Gaussian kernels ⋮ Generalized Zernike or disc polynomials ⋮ Hermite and Laguerre \(2D\) polynomials

Cites Work

• Arbitrary-order Hermite generating functions for obtaining arbitrary-order coherent and squeezed states
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