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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

A method for the computation of the error function of a complex variable


Author: Otto Neall Strand
Journal: Math. Comp. 19 (1965), 127-129
MSC: Primary 65.25
DOI: https://doi.org/10.1090/S0025-5718-1965-0170456-8
MathSciNet review: 0170456
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Abstract: This paper presents a method of computing $z \equiv \left ( {2/\sqrt \pi } \right )\int _0^z {{e^{ - {u^2}}}du}$, where $z$ is complex. It is shown that $z \equiv 1 - {\text {erf }}z$ has no zeros in the right-hand half plane. An estimate of $|{\text {erfc }}z|$ is derived.


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Article copyright: © Copyright 1965 American Mathematical Society