论文标题
生成具有双重吸收屏障的不对称随机步行过程的功能
Generating Functions for Asymmetric Random Walk Processes With Double Absorbing Barriers
论文作者
论文摘要
得出了受两个吸收屏障的限制的不对称步进路径的生成功能。该方法首先将Lagrange反演公式应用于特征方程的根部的任意力，即三项元素，该方程是在受两个吸收障碍的限制的路径上产生功能（Z）的函数（Z）的函数（Z）。给出了具有两个吸收屏障的不对称步行的确切枚举。
Generating functions for asymmetric step-size paths restricted by two absorbing barriers are derived. The method begins by applying the Lagrange inversion formula to arbitrary powers of roots of the characteristic equation, that being a trinomial, which produces generating function as function (z) of the conditional probability of absorption of a particle, on a path restricted by two absorbing barriers. The exact enumeration of an asymmetric walk with two absorbing barriers is given.
