HP Prime: built-in inverse function of erf?
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12-15-2023, 01:06 PM
(This post was last modified: 12-15-2023 01:17 PM by Gil.)
Post: #5
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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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Messages In This Thread |
HP Prime: built-in inverse function of erf? - Gil - 11-18-2023, 01:25 PM
RE: HP Prime: built-in inverse function of erf? - Albert Chan - 11-18-2023, 02:09 PM
RE: HP Prime: built-in inverse function of erf? - Gil - 12-14-2023, 10:44 PM
RE: HP Prime: built-in inverse function of erf? - Albert Chan - 12-15-2023, 12:47 PM
RE: HP Prime: built-in inverse function of erf? - Gil - 12-15-2023 01:06 PM
RE: HP Prime: built-in inverse function of erf? - Albert Chan - 12-15-2023, 02:33 PM
RE: HP Prime: built-in inverse function of erf? - Gil - 12-15-2023, 02:55 PM
RE: HP Prime: built-in inverse function of erf? - Gil - 12-15-2023, 04:05 PM
RE: HP Prime: built-in inverse function of erf? - Albert Chan - 12-15-2023, 04:52 PM
RE: HP Prime: built-in inverse function of erf? - Gil - 12-15-2023, 08:53 PM
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