New posts in special-functions

Approximation for Lambert W function near zero

approximation special-functions

Help with special function differential equation

ordinary-differential-equations special-functions

Need help with $\int_0^\infty\left(\pi\,x+\frac{S(x)\cos\frac{\pi x^2}2-C(x)\sin\frac{\pi x^2}2}{S(x)^2+C(x)^2}\right)dx$

calculus integration special-functions definite-integrals fresnel-integrals

Evaluation the Elsasser function:$\text E(y,u)=\int_{-\frac12}^\frac12e^{\frac{2\pi uy\sinh(2\pi y )}{\cos(2\pi x)-\cosh(2\pi y)}}dx$ from MathWorld

sequences-and-series definite-integrals special-functions bessel-functions trigonometric-integrals

Infinite Series :$ \sum_{n=0}^\infty \frac{\Gamma \left(n+\frac{1}{2} \right)\psi \left(n+\frac{1}{2} \right)}{n! \left(n+\frac{3}{2}\right)^2}$

sequences-and-series special-functions

How to evaluate Riemann Zeta function

numerical-methods special-functions riemann-zeta

Logarithmic derivative of Riemann Zeta function

special-functions analytic-number-theory riemann-zeta

Computing $\sum _{k=1}^{\infty } \frac{\Gamma \left(\frac{k}{2}+1\right)}{k^2 \Gamma \left(\frac{k}{2}+\frac{3}{2}\right)}$ in closed form

calculus real-analysis sequences-and-series special-functions

Solutions in terms of the hypergeometric functions

complex-analysis ordinary-differential-equations power-series special-functions hypergeometric-function

Integrating $\frac{x^k }{1+\cosh(x)}$

calculus integration special-functions riemann-zeta

Simplification of an expression containing $\operatorname{Li}_3(x)$ terms

calculus logarithms special-functions polylogarithm

Area of Validity of Writing an Exponential Integral as Sum of IntegralSinus and -Cosinus

complex-analysis integration special-functions definite-integrals

How solve this nonlinear trigonometric differential equation

ordinary-differential-equations power-series special-functions trigonometric-integrals nonlinear-analysis

Integral representation Hurwitz Zeta function

integration special-functions zeta-functions

hurwitz zeta Integral representation

integration improper-integrals special-functions riemann-zeta

Series Representation of the Glasser function: $\text G(x)\mathop=\limits^\text{def} \int_0^x \sin(t\sin(t))dt\sim2\sqrt{\frac x\pi}$

sequences-and-series recreational-mathematics special-functions trigonometric-integrals chebyshev-polynomials

Integral of Bessel function multiplied with sine $\int_0^\infty J_0(bx) \sin(ax) dx$.

integration definite-integrals special-functions bessel-functions

efficient and accurate approximation of error function

reference-request special-functions approximation

Hypergeometric series for $\mathrm{Cl}_2(\pi/3)$

sequences-and-series special-functions hypergeometric-function

Relations connecting values of the polylogarithm $\operatorname{Li}_n$ at rational points

calculus sequences-and-series logarithms special-functions polylogarithm