New posts in Bessel Functions

Taylor series for $e^{a x} J_0 (b x)$

Evaluating the integral $\int_0^{\infty}e^{-\alpha\cosh(u-\beta)}\,e^{-n u}\,du$

A peculiar integral identity

Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?

Closed form of integral over fractional part $\int_0^1 \left\{\frac{1}{2}\left(x+\frac{1}{x}\right)\right\}\,dx$

How to evaluate the integral $\int_{0}^{2\pi}e^{-iA(x\cos\varphi+y\sin\varphi)}\cos(l\varphi)\,d\varphi$?

Analyzing the P.D.E that describes the displacement of a circular membrane

Prove that $\frac{d}{dx}(xJ_\alpha(x)J_{\alpha+1}(x))=x(J_\alpha^2(x)-J_{\alpha+1}^2(x))$

Laplace transform of Bessel function of order zero

Different ways to evaluate $\int_0^\infty xI_0(2x)e^{-x^2}\,dx$