New posts in closed-form

Closed form for $\sum_{n=0}^\infty {1\over (xn)!}$

sequences-and-series taylor-expansion closed-form

Strategies for evaluating sums $\sum_{n=1}^\infty \frac{H_n^{(m)}z^n}{n}$

sequences-and-series definite-integrals closed-form harmonic-numbers polylogarithm

Prove that $\ln{\left({A^6\sqrt{\pi}\over 2^{7\over6}e}\right)}=\sum\limits_{n=1}^{\infty}{(-1)^{n+1}\over n(n+1)}\eta(n)$

calculus sequences-and-series closed-form infinite-product

Transcendental equations involving more than 2 terms

closed-form transcendental-equations lambert-w

A closed form for $\sum\limits_n(e-(1+1/n)^n)$

calculus sequences-and-series closed-form

Only once differentiable

derivatives closed-form

Solve the recurrence

recurrence-relations closed-form

Is there a simple expression for $\sum_{n=0}^{\infty} \left[ (4x)^n \frac{(n!)^2}{(2n+1)!} \right]^2?$

sequences-and-series closed-form

Is there any closed form for the following series?

generating-functions closed-form

Integral involving a dilogarithm versus an Euler sum.

summation closed-form

About the integral $\int_{0}^{1}\frac{\log(x)}{\sqrt{1+x^{4}}}dx$ and elliptic functions

definite-integrals closed-form modular-forms hypergeometric-function elliptic-functions

Derivatives of the Struve functions $H_\nu(x)$, $L_\nu(x)$ and other related functions w.r.t. their index $\nu$

calculus real-analysis derivatives special-functions closed-form

Partial sums of falling factorials

combinatorics summation factorial closed-form

Is there a closed form for $3\cdot\frac{3}{\sqrt{6}}\cdot\frac{3}{\sqrt{6+\sqrt{6}}}\cdot\frac{3}{\sqrt{6+\sqrt{6+\sqrt{6}}}}\cdots$?

closed-form infinite-product nested-radicals

Is there a closed form expression for the "generalized" addition of the first $n$ numbers?

summation recurrence-relations closed-form

Prove known closed form for $\int_0^\infty e^{-x}I_0\left(\frac{x}{3}\right)^3\;dx$

definite-integrals closed-form gamma-function bessel-functions elliptic-integrals

Evaluating $\int\frac{x^b}{1+x^a}~dx$ for $a,b\in\Bbb N$

integration sequences-and-series indefinite-integrals closed-form

Can the result of termwise multiplication of power series be found in a closed form?

combinatorics power-series closed-form

Closed forms of Nielsen polylogarithms $\int_0^1\frac{(\ln t)^{n-1}(\ln(1-z\,t))^p}{t}dt$?

integration definite-integrals closed-form big-list polylogarithm

Is there a closed form for $\sum_{n=1}^\infty\frac{(-4)^nH_{n-1}^3}{{2n\choose n}n^2}\ ?$

integration sequences-and-series binomial-coefficients closed-form harmonic-numbers