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Bilateral birth and death process in q-calculus
Stochastics ( IF 0.9 ) Pub Date : 2022-03-29 , DOI: 10.1080/17442508.2022.2055967
Lazhar Dhaouadi 1
Affiliation  

In this paper, we shall give the complete solution of the equations governing the bilateral birth and death process on the path set Rq={qn,nZ} in which the birth and death rates λn=q2ν2n and μn=q2n where 0<q<1 and ν>1. The mathematical methods employed here are based on q-Bessel Fourier analysis.



中文翻译:

q-演算中的双边出生和死亡过程

在本文中,我们将给出控制路径集上双边生灭过程的方程的完整解Rq={qn,nZ}其中出生率和死亡率λn=q2个ν2个nμn=q2个n其中 0< q <1 和ν>1个. 这里采用的数学方法基于q -Bessel 傅立叶分析。

更新日期:2022-03-29
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