Fixed points of the mappings exp(z) and -exp(z) in C

Stanislav Sykora,

Extra Byte, Via R.Sanzio 22C, 20022 Castano Primo (MI), Italy,
in Stan's Library, Vol.VI. First release 25 Oct 2016

Permalink:  DOI: 10.3247/SL6Math16.002

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This Note illustrates how even simple mappings often hide a non-intuitive inner richness. The functions exp(z) and its inverse log(z), for example, despite their apparent ‘uneventful smoothness’, define two denumerable sets of complex constants, namely the fixed points of the exponential mappings exp(z) and -exp(z). We analyze these two sets, including algorithms for their computation.

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Please, cite this online document as:
Sykora S., Fixed points of the mappings exp(z) and -exp(z) in C,
Stan's Library, Vol.VI, Oct 2016, DOI: 10.3247/SL6Math16.002 .


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Copyright ©2016 Stan's Library, ISSN 2421-1230, DOI: 10.3247/SL6Math16.002 Designed by Stan Sýkora