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Mathematics of Computation
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
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 $ \vert{\text{erfc }}z\vert$ is derived.

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PII: S 0025-5718(1965)0170456-8
Article copyright: © Copyright 1965 American Mathematical Society