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 approximation help Nasser Junior Fellow Posts: 9 Threads: 3 Joined: Nov 2012 12/26/2012, 09:22 AM (This post was last modified: 12/26/2012, 09:26 AM by Nasser.) I have found an approximation for the iterated product: $P_b(x) = \prod_{k=1}^{x}sexp_b(k)$ when x is non-integer value. this product is important because it is resulted in the first derive of $sexp_b(x)$ Now! after some logical sequences I made an approximation as below: Let x = u + v , while u is integer and 0 < v < 1 then the approximation for $P_b(x)$ is $P_b(x) \approx sexp_b(v)^{sexp_b(u)} \prod_{k=1}^{u}sexp_b(k)$ I can varify it is exactly correct for min v and max v values. but I can't make sure for v , if v for example equal 0.5 because I don't have Measuring tools or software to compare the variances I need help. « Next Oldest | Next Newest »

 Messages In This Thread approximation help - by Nasser - 12/26/2012, 09:22 AM RE: approximation help - by tommy1729 - 12/29/2012, 04:06 PM RE: approximation help - by tommy1729 - 12/29/2012, 06:13 PM

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