- #1

donifan

- 12

- 0

[tex]\sum{\frac{x^n}{n!}e^{cn^2}}[/tex]

where c is a constant. I think this problem is equivalent to find f(x) such that

[tex]\frac{d^{n}f(0)}{dx^{n}} = \frac{e^{cn^{2}}}{n!} [/tex]

I believe this must be a modified exponential since for c=0, it reduces to f(x)=e^x (also because I have plotted the solution). I have tried many things, however I still can't find the form of f(x). Any ideas?