A class of generalized complex Hermite polynomials

DOI10.1016/j.jmaa.2007.10.001zbMath1229.33017arXiv0704.3576OpenAlexW2058741312MaRDI QIDQ2470529

Allal Ghanmi

Publication date: 14 February 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3576

zbMATH Keywords

recurrence relationLaguerre polynomialsmatrix representationcomplex Hermite polynomialsweak orthogonalityRodriguez type formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

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Cites Work

• Unnamed Item
• Spectral properties of the Cauchy transform on \(L_2(\mathbb C,e^{-|z|^2}\lambda(z))\)
• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Incomplete 2D Hermite polynomials: Properties and applications.
• Laguerre 2D-functions and their application in quantum optics
• Transformations of Laguerre 2D polynomials with applications to quasiprobabilities

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