Closed form for $Q_{m}(x)=\sum _{n=0}^{\infty } \frac{ (-1)^n}{n+m}\frac{x^{n}}{n!}$

94 Views Asked by At

I've just stumbled upon this $$ Q_{m}(x)=\sum _{n=0}^{\infty } \frac{ (-1)^n}{n+m}\frac{x^{n}}{n!} $$ and i'd like to know if it has a closed form.

Note that $m \geq1 $ is an integer.

Thanks.