Notes on the constructions of rational approximations for the eerror function and for similar functions

  • Authors:

  • W. W. Clendenin

  • Affiliations:

  • Westinghouse Electric Corp., Pittsburgh, PA

  • Venue:
  • Communications of the ACM
  • Year:
  • 1961

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Abstract

This note describes a rational approximation for the error function which has been found useful in a subroutine as an asymptotic expression of improved accuracy. While the method of the approximation is along well-established lines [1, 2, 3, 4] a brief description may be of interest since the feasibility of a simplified means of determining the basic coefficients is shown for the error function, and this technique may be useful in other cases.