On the complex Hermite polynomials
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Publication:5865610
DOI10.2298/FIL2002409LzbMath1499.33043MaRDI QIDQ5865610
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Publication date: 9 June 2022
Published in: Filomat (Search for Journal in Brave)
partial differential equationsPoisson kernelcomplex Hermite polynomialsanalytic functions in several variables
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Power series, series of functions of several complex variables (32A05) Polynomial solutions to PDEs (35C11)
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Cites Work
- Kibble-Slepian formula and generating functions for 2D polynomials
- Two variable extensions of the Laguerre and disc polynomials
- Lectures on the theory of functions of several complex variables. Notes by Raghavan Narasimhan. Reprint
- On a system of partial differential equations and the bivariate Hermite polynomials
- Analytic properties of complex Hermite polynomials
- Operational formulae for the complex Hermite polynomialsHp,q(z, z¯)
- Mehler's formulas for the univariate complex Hermite polynomials and applications
- Generating Functions for Hermite Functions
- Modular structures on trace class operators and applications to Landau levels
- Laguerre 2D-functions and their application in quantum optics
- Transformations of Laguerre 2D polynomials with applications to quasiprobabilities
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