Teaching CSIR NET Mock Test Series Mathematical Science Complex Analysis Taylor Series, Laurent Series
Let \(f(z) = (1+z) e^{\left(\frac{z^2}{2}\right)}\)= \(1+\sum_{n=1}^{\infty} a_n z^n\).
Which of the following is FALSE?
1
f'(z) = (1 + z + z2)\(e^{z^2\over2}\)
2
a1 = a2
3
an ≥ 0 for all n ≥ 1
4
\(\sum_{n=3}^{\infty}a_n<2\)