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Riemann zeta function at zero

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What is a closed form of $\int_0^1\ln(-\ln x)\ \text{li}\ x\ dx$

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#special-functions #logarithms #definite-integrals #improper-integrals #closed-form
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Evaluate integral in terms of Gamma function

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#calculus #special-functions #improper-integrals #gamma-function
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Integral involving bessel function/gaussian/rational function

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#special-functions #improper-integrals #bessel-functions
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Can you recommend some books on elliptic function?

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#reference-request #special-functions #elliptic-curves #elliptic-functions
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Numerical methods for integrals involving product of Bessel functions of the first kind (1st order)

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#numerical-methods #special-functions #improper-integrals
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Is it possible to simplify $\frac{\Gamma\left(\frac{1}{10}\right)}{\Gamma\left(\frac{2}{15}\right)\ \Gamma\left(\frac{7}{15}\right)}$?

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#calculus #special-functions #closed-form #gamma-function
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How to compute complete elliptic integral of the first kind in explicit form using elementary functions?

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#numerical-methods #special-functions #elliptic-integrals
227
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trigamma fuction

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#special-functions
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Integral formula for $\frac{1}{\Gamma(z)}$

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#complex-analysis #special-functions #gamma-function
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Iterated exponential function

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#special-functions
362
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Approximation or solution to infinite series involving modified Bessel Functions

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#sequences-and-series #special-functions
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A Challenging Euler Sum $\sum\limits_{n=1}^\infty \frac{H_n}{\tbinom{2n}{n}}$

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#sequences-and-series #special-functions #definite-integrals #closed-form
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Is this function "$h$" symmetric of the plane $x=y$?

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#special-functions
83
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Using the beta function

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#special-functions

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