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zbMATH Open
Article . 1965
Data sources: zbMATH Open
Mathematics of Computation
Article . 1965 . Peer-reviewed
Data sources: Crossref
Mathematics of Computation
Article . 1965 . Peer-reviewed
Data sources: Crossref
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A Method for the Computation of the Error Function of a Complex Variable

A method for the computation of the error function of a complex variable
Authors: Strand, O. N.;

A Method for the Computation of the Error Function of a Complex Variable

Abstract

This paper presents a method of computing z ≡ ( 2 / π ) ∫ 0 z e − u 2 d u z \equiv \left ( {2/\sqrt \pi } \right )\int _0^z {{e^{ - {u^2}}}du} , where z z is complex. It is shown that z ≡ 1 − erf  z z \equiv 1 - {\text {erf }}z has no zeros in the right-hand half plane. An estimate of | erfc  z | |{\text {erfc }}z| is derived.

Keywords

numerical analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Average
Top 1%
Average
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