Expansion of an infinite series

Expansion of an infinite series - I need help expanding a Taylor?? series to 10 or 15 terms - Messages

#1 Posted: 10/30/2014 1:12:13 PM
mikew57

mikew57

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It has been a long time since engineering school and I am not sure how to expand this series used to correct log space to arithmetic space. It is called a scale bias correction factor (SBCF). I need to expand it to 10 or 15 terms. Here it is:

[MATH]SBCF = (1+(((m-1)*T)/m)+(((m-1)^3*T^2)/(m^2*2!*(m+1)))+(((m-1)^5*T^3)/(m^3*3!*(m+1)*(m+3))))[/MATH]

It is difficult to read here but I have attached a smath worksheet.

Can anyone help please?

Thanks
Mike
sbcf.sm (5 KiB) downloaded 35 time(s).
#2 Posted: 10/31/2014 7:29:41 AM
mikew57

mikew57

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In case anyone is working on this, I got an answer from another forum. It is Finneys function. The next term is:
+ (m-1)^7T^4/(4!m^4(n+1)(m+3)(m+5)) + ...

I see the pattern now.
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Davide Carpi 10/31/2014 7:31:00 AM
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