Inverse Error Function Values
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Random Entry New in MathWorld MathWorld Classroom About MathWorld Contribute to MathWorld Send a Message to the Team MathWorld Book Wolfram Web Resources» 13,594 entries Last updated: Tue Sep inverse error function calculator 27 2016 Created, developed, and nurturedbyEricWeisstein at WolframResearch Calculus and Analysis>Special inverse error function excel Functions>Erf> Calculus and Analysis>Calculus>Integrals>Definite Integrals> History and Terminology>Wolfram Language Commands> Inverse Erf The inverse erf function is
Erf(2)
the inverse function of the erf function such that (1) (2) with the first identity holding for and the second for . It is implemented in the Wolfram
Inverse Erf
Language as InverseErf[x]. It is an odd function since (3) It has the special values (4) (5) (6) It is apparently not known if (7) (OEIS A069286) can be written in closed form. It satisfies the equation (8) where is the inverse erfc function. It has the derivative (9) and its integral is (10) (which inverse error function matlab follows from the method of Parker 1955). Definite integrals are given by (11) (12) (13) (14) (OEIS A087197 and A114864), where is the Euler-Mascheroni constant and is the natural logarithm of 2. The Maclaurin series of is given by (15) (OEIS A002067 and A007019). Written in simplified form so that the coefficient of is 1, (16) (OEIS A092676 and A092677). The th coefficient of this series can be computed as (17) where is given by the recurrence equation (18) with initial condition . SEE ALSO: Confidence Interval, Erf, Inverse Erfc, Probable Error RELATED WOLFRAM SITES: http://functions.wolfram.com/GammaBetaErf/InverseErf/, http://functions.wolfram.com/GammaBetaErf/InverseErf2/ REFERENCES: Bergeron, F.; Labelle, G.; and Leroux, P. Ch.5 in Combinatorial Species and Tree-Like Structures. Cambridge, England: Cambridge University Press, 1998. Carlitz, L. "The Inverse of the Error Function." Pacific J. Math. 13, 459-470, 1963. Parker, F.D. "Integrals of Inverse Functions." Amer. Math. Monthly 62, 439-440, 1955. Sloane, N.J.A. Sequences A002067/M4458, A007019/M3126, A069286, A087197, A092676, A092677, A114859, A114860, and A114864 in "The On-Line Encyclopedia of Integer Sequences." CITE
Analysis Shared Life Mathematics http://mathworld.wolfram.com/InverseErf.html Science Practical Science Other Private Column Advanced Cal Some functions are limited now because setting of http://keisan.casio.com/has10/SpecExec.cgi?id=system/2006/1180573448 JAVASCRIPT of the browser is OFF. Home/ Special Function/ Error function Inverse error function Calculator Calculates the inverse error function erf -1(y) and inverse complementary error function erfc -1(y). y0≦y≦1 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt Privacy Policy Terms of use FAQ Contact us © 2016 CASIO COMPUTER CO., LTD.
Error Function Free Statistics Calculators: Home > Inverse Error Function Calculator error function Inverse Error Function Calculator This calculator will compute the value of the inverse error function, given the limit of integration inverse error function x. The inverse error function is also known as the Gauss inverse error function.Please enter the necessary parameter values, and then click 'Calculate'. x: Related Resources Calculator Formulas References Related Calculators Search Free Statistics Calculators version 4.0 The Free Statistics Calculators index now contains 106 free statistics calculators! Copyright © 2006 - 2016 by Dr. Daniel Soper. All rights reserved.
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