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...
Recursive functions and Gamma functions
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recurrence-relations
gamma-function
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2Could you give more information? What are some examples of the kind of things you wish to solve? – 2012-04-10
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0$Matthew ConroyI want to learn connection between these two things so that I can use it for my equations can you please some pointers? – 2012-04-10
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0What makes you think there is a connection to learn at all? – 2012-04-10
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0want to learn that connection....CAN WE SOLVE RECURSIVE FUNCTION USING GAMMMA FUNCTION? – 2012-04-10
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0Can you please give a specific example of what you would like to solve. Aside from the fact that the gamma function can has a recursive identity defined by $\Gamma(z+1)=\Gamma(z)z$, it makes no sense to say that this can be applied to "recursive functions." – 2012-04-10
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1Writing in capital letters is a terrific way to convince people to stay away from you. If, instead, you want people to help you, you might try to meet them halfway. Let's start with vocabulary. You ask about solving functions, but that makes no sense. Do you mean solving equations? You've used the tag "recurrence relations", so perhaps what you really want to do is solve recurrence relations? Do you have an example of a recurrence relation that somebody solved using the gamma function? or an example of a recurrence relation that you would like to solve using the gamma function? – 2012-04-11
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0@GerryMyerson I've posted example..please see – 2012-04-11