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 product functions tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 05/31/2011, 12:26 PM consider rewriting a taylor series f(z)/f(0) as a kind of taylor product : f(z)/f(0) = 1 + a x + b x^2 + ... = (1 + a' x)(1 + b'x^2) ... if we want (1 + a' x)(1 + b'x^2) ... to be valid at least where the taylor series is we have to " take care of the zero's " (1 + c x^n)*... has as zero's (-1/c)^(1/n) so the taylor series must have these zero's too. despite that simple condition , its not quite easy to me how to find f(z)/f(0) = 1 + a x + b x^2 + ... = (1 + a' x)(1 + b'x^2) ... with both expressions converging in the same domain ( or all of C ). « Next Oldest | Next Newest »

 Messages In This Thread product functions - by tommy1729 - 05/31/2011, 12:26 PM RE: product functions - by bo198214 - 05/31/2011, 02:02 PM RE: product functions - by bo198214 - 05/31/2011, 02:13 PM RE: product functions - by tommy1729 - 05/31/2011, 11:00 PM RE: product functions - by tommy1729 - 06/01/2011, 05:31 PM RE: product functions - by tommy1729 - 06/01/2011, 05:38 PM

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