I would like to know the analytical expression for the following series (if it exists):
$\sum_{n=0}^{\infty} \frac{1}{n!} a^n b^{n^2}$
Does anybody have a clue on how to proceed?
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
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