On the Exact Solution of a Generalized Polya Process

Figure 2

Time dependence of three relaxation functions for 𝜅(𝑡) in Table 2: (i) an exponential function (solid line), (ii) an inverse power function (dotted line), and (iii) a fractional power function (dashed line); the values of parameters are 𝜅=1, 𝛾=0.85, 𝛼=1, and 𝛽=1.

(a) 𝜅(𝑡)

(b) 𝐾(𝑡)=∫^𝑡₀𝜅(𝑠)𝑑𝑠