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Question: Problem with a taylor/series expression

Question:Problem with a taylor/series expression

Jujucarot67 0 Maple 13
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July 26 2010
0

Hello all,

I have a little problem with an expression I have to develop in taylor/series.

Here it is:

sinh(sqrt(omega/nu+m^2)*h)

I want to develop it in "nu", giving that "nu" is a small parameter, and it says that it doesn't exist a series expansion.

But when I can obtain the series expansion of the "sqrt" part only of the expression, which yields:

sqrt(omega)*h/sqrt(nu)+(1/2)*m^2*h*sqrt(nu)/sqrt(omega)-(1/8)*m^4*h*nu^(3/2)/omega^(3/2)+(1/16)*m^6*h*nu^(5/2)/omega^(5/2)-(5/128)*m^8*h*nu^(7/2)/omega^(7/2)+(7/256)*m^10*h*nu^(9/2)/omega^(9/2)-(21/1024)*m^12*h*nu^(11/2)/omega^(11/2)+O(nu^(13/2))

Thank you for you help, Julien
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