Closed form of $\sum_{k=1}^{\infty} X^k M (X^\top)^k$
70390
is there a closed form expression for the following matrix infinite series
158774
Series of binomial coefficients: $\sum\limits_{n=k}^{\infty}{\binom nk}x^n=\frac{x^k}{(1-x)^{k+1}}$
23726
A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
121617
Closed form of $\sum_{n=0}^{\infty} \frac{\cos(\alpha \, n)}{n!}$
25967
Prove $\csc(x)=\sum_{k=-\infty}^{\infty}\frac{(-1)^k}{x+k\pi}$
42736
Is there a closed form for $\sum_{k=0}^n \frac{x^k}{k!}$?
99420
Compute $\sum_{n=1}^\infty \frac{1}{(n+1)\sqrt[]{n}+n\sqrt[]{n+1}}$
132126
Proving $\sum\limits_{n=1}^{\infty } \frac{\mu (n)}n=0$ where $\mu$ is the Möbius function
20550
Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$
119606
Closed form of summation
63863
Evaluate: $\sum_{n=1}^{\infty}\frac{1}{n k^n}$
124229
Simplify $\sum_{k=0}^{\infty} x^ky^{\frac{k(k+1)}{2}}$
10222
Simplify $\sum (x_i- \mu)^2$
102942
Compute the sum $\sum_{k=1}^{\infty}k^mz^k$ where $|z|<1$
27224
Infinite series $\sum_{k=1}^\infty \frac{k}{2^k}$ and $\sum_{k=1}^\infty \frac{k^2}{2^k}$
119552
Summing Finitely Many Terms of Harmonic Series: $\sum_{k=a}^{b} \frac{1}{k}$
70248
Closed-form expression for $\sum_{k=0}^n\binom{n}kk^p$ for integers $n,\,p$