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Generalized hermite polynomials in superspace as eigenfunctions of the supersymmetric rational cms model
(ELSEVIER SCIENCE B.V., 2003)
Explicit formulae for the generalized hermite polynomials in superspace
(INT SCIENCE SERVICES/BALABAN PUBLISHERS, 2004)
Squeezed states, generalized Hermite polynomials and pseudo-diffusion equation
(1992-11-01)
We show that the wavefunctions 〈pq; λ|n〈, of the harmonic oscillator in the squeezed state representation, have the generalized Hermite polynomials as their natural orthogonal polynomials. These wavefunctions lead to ...
Squeezed states, generalized Hermite polynomials and pseudo-diffusion equation
(1992-11-01)
We show that the wavefunctions 〈pq; λ|n〈, of the harmonic oscillator in the squeezed state representation, have the generalized Hermite polynomials as their natural orthogonal polynomials. These wavefunctions lead to ...
On the maximal function for the generalized Ornstein-Uhlenbeck semigroup
(Natl Inquiry Services Centre Pty Ltd, 2007-12)
In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials (Hμn) and prove that it is weak type (1,1) with respect to dλμ(x) = ...
Definite integrals and operational methods
(ELSEVIER SCIENCE INCNEW YORK, 2012)
An operational method, already employed to formulate a generalization of the Ramanujan master theorem, is applied to the evaluation of integrals of various types. This technique provides a very flexible and powerful tool ...
A new class of degenerate Apostol-type Hermite polynomials and applications
(University of VeronaItaly, 2022)