New posts in special-functions

Nicer expression for the following differential operator

combinatorics ordinary-differential-equations special-functions

On the integral $\int_{(0,1)^n}\frac{\prod\sin\theta_k}{\sum\sin\theta_k}d\mu$

definite-integrals special-functions bessel-functions hypergeometric-function

Integral of $x' \mapsto e^{-\frac{1}{\alpha}\|x'-x\|_p}$ over an $\ell_p$-ball around $x$ in $\mathbb R^n$

real-analysis integration multivariable-calculus special-functions

Fabius function and equivalent

ordinary-differential-equations limits probability-distributions special-functions

A curve with arc length equal to the elliptic integral of the **first** kind. What's the area?

complex-analysis special-functions elliptic-curves elliptic-integrals

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

Alternative ways to evaluate $\int^1_0 \frac{\text{Li}_2(x)^3}{x}\,dx$

calculus real-analysis integration definite-integrals special-functions

Functions with $\mathrm s(x)^n+ \mathrm c(x)^n \equiv 1$

integration functions indefinite-integrals special-functions functional-equations

Integral of digamma function

sequences-and-series integration special-functions

Integral of Hermite polynomial multiplied by $\exp(-x^2/2)$

integration special-functions definite-integrals orthogonal-polynomials

Incomplete hypergeometric function

special-functions hypergeometric-function beta-function

A theta function around its natural boundary

limits special-functions modular-forms

Integral of product of Bessel functions of the first kind

integration special-functions

Prove ${_2F_1}\left({{\tfrac16,\tfrac23}\atop{\tfrac56}}\middle|\,\frac{80}{81}\right)=\frac 35 \cdot 5^{1/6} \cdot 3^{2/3}$

calculus special-functions closed-form hypergeometric-function

A particular case of Truesdell's unified theory of special functions

special-functions integral-transforms

Does $\int_0^{2 \pi} \sqrt{1-(a+b \sin\phi)^2} d\phi $ have a closed form in terms of elliptic integrals?

integration special-functions elliptic-integrals

Why does this function start swinging up and down so weirdly

special-functions

Hypergeometric formulas for the Rogers-Ramanujan identities?

special-functions modular-forms infinite-product

An inequality from the handbook of mathematical functions (by Abramowitz and Stegun)

calculus real-analysis inequality special-functions integral-inequality

Ramanujan's Class Invariant $G_{625}$

special-functions radicals golden-ratio modular-function