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HP Prime: built-in inverse function of erf?
12-15-2023, 01:06 PM (This post was last modified: 12-15-2023 01:17 PM by Gil.)
Post: #5
RE: HP Prime: built-in inverse function of erf?
"I think erf inverse function is defined only for real x within ±1, otherwise we get infinite solutions."

Not quite so as I understood from Wikipedia, in article Error Function, Properties for Abs (z=a+ib) < 1 :

The inverse error function is usually defined with domain (−1,1), and it is restricted to this domain in many computer algebra systems. However, it can be extended to the disk |z| < 1 of the complex plane, using the Maclaurin series[9]

Then
InvERF
((.8,-.2))—>(.801172930851,-.341012371796)

And ERF
((.801172930851,-.341012371796))
—> (.799999999998,-.200000000002)

OrInvERF
((0.,.85)) —>
(0.,.649264402037

And ERF
((0.,.649264402037))
—> (0.,.849999999995)

It's what I developed for the HP50G in the directory program ERROR.9f for the error functions.
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RE: HP Prime: built-in inverse function of erf? - Gil - 12-15-2023 01:06 PM



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