How can I evaluate $ \sum_{n=0}^{\infty}{\frac{x^{kn}}{(kn)!}} $ where $k$ is a natural number?
74117
Find the sum of series $\sum_{n=0}^{\infty}\frac{z^{kn}}{(kn)!}$
78542
What is $\sum_{n=1}^{\infty} \frac{n}{2^{\sqrt{n}}}$?
131023
Evaluate the sum: $\sum\limits_{n=0}^{\infty} \frac1{F_{(2^n)}}$
91933
Evaluate $\sum_{k=1}^nk\cdot k!$
50334
What is $\lim_{n \rightarrow \infty}\sum\limits_{k = 1}^n\frac{k}{n^2}$?
326
Find $\sum_{k=1}^{\infty}\frac{1}{2^{k+1}-1}$
138542
Evaluating sums question $\sum_{k=2}^n \frac{1}{k^2-1}$
152698
Evaluation of $\sum_{n=0}^{\infty}\frac{1}{(n^4+n^2+1)n!}$
137249
find $\sum_{k=2}^{\infty}\frac{1}{k^2-1}$
913
Evaluating $\sum_{n=0}^{\infty}{\sin^{3}\left(3^{n}\right) \over 3^{n}}$
155005
How to show $\sum_{k=n}^\infty{\frac{1}{k!}} \leq \frac{2}{n!}$
139229
How to prove by arithmetical means that $\sum\limits_{k=1}^\infty \frac{((k-1)!)^2}{(2k)!} =\frac{1}{3}\sum\limits_{k=1}^{\infty}\frac{1}{k^{2}}$
145154
Calculating limit of $\sum_{k = 0}^\infty \frac{n^k}{k!} \vert k - n \vert$
60104
Evaluate $\sum_{k=1}^\infty\frac{x^k}{k(k+1)}$
124229
Simplify $\sum_{k=0}^{\infty} x^ky^{\frac{k(k+1)}{2}}$
69288
Number of real roots of $\sum_{k=0}^{n}\frac{x^{k}}{k!}=0$
49936
Various evaluations of the series $\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)^3}$