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Generalized Hermite Polynomials and Supergaussian Forms

✍ Scribed by G. Dattoli; S. Lorenzutta; G. Maino; A. Torre; C. Cesarano

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
139 KB
Volume
203
Category
Article
ISSN
0022-247X

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✦ Synopsis

We discuss Hermite polynomials of the Gould᎐Hopper type, the associated harmonic oscillator-like functions, the differential equations they satisfy, and the relevant creation᎐annihilation operator algebra. We also introduce many variable Hermite polynomials of the Bell type, analyze their properties, and show that they are a natural tool to develop the theory of super-Gauss᎐Hermite functions, whose pseudo-orthogonal properties are also discussed.

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