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15
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Deriving the Erf function from an integral

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#integration #error-function
65
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Maximum error bound for ODE

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#ordinary-differential-equations #numerical-methods #error-function
63
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Prove $ \operatorname{erfi}(x) \in O(e^{x^2})$

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#asymptotics #error-function
56
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Is the error function and $\mathcal{N}(0,1)$ the same thing?

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#error-function
114
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How to correctly integrate to get the error function

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#integration #error-function
61
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An improper integral involving a modified Bessel function, an exponential and hyperbolic functions.

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#improper-integrals #bessel-functions #hypergeometric-function #hyperbolic-functions #error-function
87
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Finding $n$ in the equation $\int_{-\infty}^{\infty}(-1)^xe^{\frac{-\pi x}{2}(nx+1)}dx=\frac{1}{\sqrt{n}}$.

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#real-analysis #calculus #integration #error-function
258
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An explicit Taylor series of the inverse error function?

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#solution-verification #taylor-expansion #generating-functions #inverse-function #error-function
183
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Prove the inequality : $\int_{-2}^{2}e!^{-y^{2}}dy<\int_{-2}^{2}e^{-1}dy$

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#inequality #definite-integrals #gamma-function #error-function
107
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Yet another improper integral which involves a Gaussian and an error function.

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#improper-integrals #gaussian-integral #error-function
48
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Prove or (dis)prove that : $f\left(x\right)+f\left(\phi\right)<0$

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#power-series #approximation #hyperbolic-functions #constants #error-function
103
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How to finish this special series for the error function on (0,1]?

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#power-series #hyperbolic-functions #error-function
149
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Yet another integral identity involving a Bessel function and incomplete gamma functions.

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#definite-integrals #gamma-function #bessel-functions #error-function
62
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What can we say about $S=\sum_{n=1}^{\infty}\frac{1}{n^{2}\operatorname{erf}\left(n\right)}$?

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#approximation #closed-form #constants #error-function
262
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Error function for a different standard deviation

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#statistics #normal-distribution #standard-deviation #error-function

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