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Homework Statement
Find coefficients ##b_n##
[tex]\sum^{\infty}_{n=0}\frac{t^n}{n!}b_n=e^{\frac{4at}{3}}e^{-\frac{t^2}{3}}[/tex]
a is constant.
Homework Equations
[tex]e^x=\sum^{\infty}_{n=0}\frac{x^n}{n!}[/tex]
The Attempt at a Solution
Here
[tex]e^{\frac{t}{3}(4a-t)}=\sum^{\infty}_{n=0}\frac{( \frac{t}{3}(4a-t))^n}{n!}[/tex]
I tried to use this. But I did not succeed to find given coefficients.
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