Analytic properties of complex Hermite polynomials
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About: This article is published in Transactions of the American Mathematical Society. The article was published on 11 Jun 2015. and is currently open access. The article focuses on the topics: Classical orthogonal polynomials & Orthogonal polynomials.
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Citations
D-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
TL;DR: The D-pseudo-boson formalism is illustrated with two examples in this paper, one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group GL(2;C) of invertible 2 2 matrices with complex entries.
On some analytic properties of slice poly-regular Hermite polynomials
Amal El Hamyani,Allal Ghanmi +1 more
TL;DR: In this paper, a quaternionic analogue of the univariate complex Hermite polynomials is considered and some properties of their analytic properties in some detail are studied. But their integral representation and operational formulas of exponential and Burchnall types are not given.
A New Perspective on the Two-Dimensional Fractional Fourier Transform and Its Relationship with the Wigner Distribution
TL;DR: In this paper, the authors introduced a new definition of the two-dimensional fractional Fourier transform that is not a tensor product of two copies of one-dimensional transforms, which is more general than the one that exists in the literature, using a relatively new family of Hermite functions of two complex variables.
References
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