Bilateral Birth and death process in quantum calculus

Lazhar Dhaouadi

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arXiv · 2106.14283

Bilateral Birth and death process in quantum calculus

Lazhar Dhaouadi

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Abstract

In this paper I shall give the complete solution of the equations governing the bilateral birth and death process on path set $\mathbb{R}_q=\{q^n,\quad n\in\mathbb{Z}\}$ in which the birth and death rates $\lambda_n=q^{2\nu-2n}$ and $\mu_n=q^{-2n}$ where $0 -1$ . The mathematical methods employed here are based on $q$-Bessel Fourier analysis.

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Lazhar Dhaouadi. 2021-06-27. Bilateral Birth and death process in quantum calculus. https://arxiv.org/abs/2106.14283

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