# Recursive functions and Gamma functions

How do we solve recursive functions using gamma function? Basically I'm not able to understand the connection between the two. I found following reduction while reading on web $(i+b)I_{i}=(i-1-\lambda)I_{i-1}+p(1+p\lambda)\delta_{i0}$ to $I_i$=$I_{0}\frac{\Gamma(i+\lambda)\Gamma(b+1)}{\Gamma(i+b+1)\Gamma(\lambda)}$ I'm not able to get this reduction...

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Could you give more information? What are some examples of the kind of things you wish to solve? –  Matthew Conroy Apr 10 '12 at 17:25