New posts in error-function

Is this function decreasing in $x$?

calculus integration inequality integral-inequality error-function

$\int\text{e}^{-ax^2 } \text{erf}\left(bx + c\right) dx$

calculus integration definite-integrals indefinite-integrals error-function

Gaussian integral with error function

integration definite-integrals change-of-variable gaussian-integral error-function

Error Propagation (complicated case)

numerical-methods error-function error-propagation

How to prove error function $\mbox{erf}$ is entire (i.e., analytic everywhere)?

complex-analysis special-functions contour-integration error-function

Solving the integral $\int_{0}^{1} d{v} \frac{e^{-y^2(1+v^2)}}{1+v^2}e^{\frac{2 t v^2}{v^2+1}}$

calculus integration definite-integrals error-function

An integral involving a Gaussian, error functions and the Owen's T function.

integration special-functions error-function polylogarithm

Finding the Best linear unbiased estimator of the mean using Lagrange Multiplier

optimization lagrange-multiplier error-function

Integral $\int_0^\infty\exp\left(-\sqrt2\,x^2\right)\,\operatorname{erfi}(x)\,\log(x)\,x^3\,dx$

integration improper-integrals closed-form hypergeometric-function error-function

Fourier transform of $\operatorname{erfc}^3\left|x\right|$

calculus integration fourier-analysis special-functions error-function

Erf squared approximation

special-functions error-function

Integral $\int_0^\infty F(x)\,F\left(x\,\sqrt2\right)\frac{e^{-x^2}}{x^2} \, dx$ involving Dawson's function

calculus integration definite-integrals special-functions error-function

A closed form for $\int_0^\infty e^{-a\,x} \operatorname{erfi}(\sqrt{x})^3\ dx$

calculus integration definite-integrals closed-form error-function

A closed form for $\int_0^\infty\frac{\sin(x)\ \operatorname{erfi}\left(\sqrt{x}\right)\ e^{-x\sqrt{2}}}{x}dx$

integration definite-integrals closed-form elementary-functions error-function

Weber-type integral

integration special-functions error-function

Integral $\int_0^\infty\left(x+5\,x^5\right)\operatorname{erfc}\left(x+x^5\right)\,dx$

calculus integration definite-integrals closed-form error-function

Non-trivial values of error function $\operatorname{erf}(x)$?

special-functions error-function

How to evaluate $\int_0^\infty\operatorname{erfc}^n x\ \mathrm dx$?

calculus integration definite-integrals special-functions error-function

What is the antiderivative of $e^{-x^2}$

calculus integration indefinite-integrals closed-form error-function