On the Exact Solution of a Generalized Polya Process

Figure 1

Time dependence of 𝑝(𝑛,𝑡) in (2.2) for three relaxation functions of 𝜆(𝑡) in Table 1: (i) an exponential function, (ii) an inverse power function, and (iii) a fractional power function; the values of parameters are 𝜆₀=1,𝛾₀=0.85. The pdf profiles are depicted for 𝑡=1 (solid line), 𝑡=3 (dotted line), 𝑡=5 (dashed line), 𝑡=7 (dash-dotted line), and 𝑡=9 (dash-dotted line).