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Closed-form of log gamma integral $\int_0^z\ln\Gamma(t)~dt$ for $z =1,\frac12, \frac13, \frac14, \frac16,$ using Catalan's and Gieseking's constant?

Simplify $\Gamma\left(\frac27\right) \Gamma\left(\frac{11}{42}\right)/\;\Gamma\left(\frac1{21}\right)$ to elementary terms

Integral $\int\limits_0^\infty \prod\limits_{k=0}^\infty\frac{1+\frac{x^2}{(b+1+k)^2}}{1+\frac{x^2}{(a+k)^2}} \ dx$

The evaluation of the infinite product $\prod_{k=2}^{\infty} \frac{k^{2}-1}{k^{2}+1}$

The most complete reference for identities and special values for polylogarithm and polygamma functions

Scary contour integral, but is also an integral representation for $\Gamma$-function

Integral ${\large\int}_0^1\frac{dx}{(1+x^{\sqrt2})^{\sqrt2}}$

Solve $-B \ln y -A y \ln y + A y- A =0$ for $y$

Closed-form of $\int_0^1 \left(\ln \Gamma(x)\right)^3\,dx$

Continuation of an asymptotic series originally defined for $z>0$ to $z<0$

What approximations for the Gamma function's inverse appear to work 'best'?

a conjectured continued-fraction for $\displaystyle\cot\left(\frac{z\pi}{4z+2n}\right)$ that leads to a new limit for $\pi$

Closed form for $\int_1^\infty\int_0^1\frac{\mathrm dy\,\mathrm dx}{\sqrt{x^2-1}\sqrt{1-y^2}\sqrt{1-y^2+4\,x^2y^2}}$

Understanding the Analytic Continuation of the Gamma Function

New posts in gamma-function

A $\log \Gamma $ identity: Where does it come from?

Can $\Gamma(1/5)$ be written in this form?

The expectation of the norm of standard Gaussian random vectors

Methods to attack integrals that include $(1+x)^{a}\ln^{b}(1+x)$ in the integrand

Integral of binomial coefficients

$ \frac{\Gamma(r)\Gamma(s)\Gamma(k)}{\Gamma(r+s+k)} $ as a nice integral?

Closed-form of log gamma integral $\int_0^z\ln\Gamma(t)~dt$ for $z =1,\frac12, \frac13, \frac14, \frac16,$ using Catalan's and Gieseking's constant?

Simplify $\Gamma\left(\frac27\right) \Gamma\left(\frac{11}{42}\right)/\;\Gamma\left(\frac1{21}\right)$ to elementary terms

Integral $\int\limits_0^\infty \prod\limits_{k=0}^\infty\frac{1+\frac{x^2}{(b+1+k)^2}}{1+\frac{x^2}{(a+k)^2}} \ dx$

The evaluation of the infinite product $\prod_{k=2}^{\infty} \frac{k^{2}-1}{k^{2}+1}$

The most complete reference for identities and special values for polylogarithm and polygamma functions

Scary contour integral, but is also an integral representation for $\Gamma$-function

Integral ${\large\int}_0^1\frac{dx}{(1+x^{\sqrt2})^{\sqrt2}}$

Solve $-B \ln y -A y \ln y + A y- A =0$ for $y$

Closed-form of $\int_0^1 \left(\ln \Gamma(x)\right)^3\,dx$

Continuation of an asymptotic series originally defined for $z>0$ to $z<0$

What approximations for the Gamma function's inverse appear to work 'best'?

a conjectured continued-fraction for $\displaystyle\cot\left(\frac{z\pi}{4z+2n}\right)$ that leads to a new limit for $\pi$

Closed form for $\int_1^\infty\int_0^1\frac{\mathrm dy\,\mathrm dx}{\sqrt{x^2-1}\sqrt{1-y^2}\sqrt{1-y^2+4\,x^2y^2}}$

Understanding the Analytic Continuation of the Gamma Function