Im studying a book about stochastic processes and it is mentioned in the book that the equation below is true and we can obtain it by generating functions can anyone prove it. Thanks a lot. $$\sum_{m=0}^{\infty}\binom{2m}{m}p^m = (1 - 4p)^{-1/2}$$
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1Well, it is a generating function. What exactly does it mean to obtain it by generating functions? – joriki Apr 07 '16 at 17:43
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Im eager to know how to prove the equation. – mahrap Apr 07 '16 at 17:45
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Leave it in the airing cupboard for up to an hour until it doubles in size. – Edward Evans Apr 07 '16 at 17:47