More recent Internet mentions of the use of $\mathrm {erf}$ or $\mathrm {erfc}$ for solving differential equations include short-circuit power dissipation in electrical engineering, current …

Well, there's a definition of erf and a definition of the Normal CDF.. The relations, derivable by some routine calculations, are shown as to how to convert between them, and how to convert …

Aug 15, 2016 · My question is if I can find, or if there are known, substitutions for this non-elementary function in terms of elementary ones. In the sense above, i.e. the approximation is …

The naïve (alternating) Maclaurin series is not really that numerically sound; I had already mentioned in my answer the modified series that has much better properties for computing …

Apr 23, 2016 · How can I calculate the derivatives $$\\frac{\\partial \\mbox{erf}\\left(\\frac{\\ln(t)-\\mu}{\\sqrt{2}\\sigma}\\right)}{\\partial \\mu}$$ and $$\\frac{\\partial ...

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Because $\forall x,\frac {2} {\sqrt\pi}e^ {-x^2}>0$ we know that $\operatorname {erf} (x)$ is strictly increasing, so it suppose to have an inverse function. I can ...

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