Fock space associated with quadrabasic Hermite orthogonal polynomials

Wiktor Ejsmont

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arXiv · 2004.08538

Fock space associated with quadrabasic Hermite orthogonal polynomials

Wiktor Ejsmont

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Abstract

This paper introduces a new idea for constructing operators associated with a certain class of probability measures. Special cases include several know classical and noncommutative probability. The main example is derived from Feller [30, Page 503, Example 10], i.e. the hyperbolic secant distribution. In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and characteristic function are proportional to the hyperbolic secant function.

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Wiktor Ejsmont. 2020-04-18. Fock space associated with quadrabasic Hermite orthogonal polynomials. https://arxiv.org/abs/2004.08538

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