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Complex Functions and Images

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Abstract

The cover of this volume shows the phase portrait of a rational function. In this note, we explain how its poles and zeros are chosen in order to create the four letters C, M, F, T . Moreover, we prove that phase portraits of rational functions can “visually approximate” any image composed of saturated colors.

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Acknowledgments

I would like to thank to Gunter Semmler for inspiring discussions and helpful support.

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Authors and Affiliations

  1. Institute of Applied Analysis, TU Bergakademie Freiberg, Akademiestr. 6, 09596 , Freiberg, Germany

    Elias Wegert

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  1. Elias Wegert
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Correspondence to Elias Wegert.

Additional information

Communicated by Stephan Ruscheweyh.

Supported by the Deutsche Forschungsgemeinschaft, grant We1704/8-2.

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Wegert, E. Complex Functions and Images. Comput. Methods Funct. Theory 13, 3–10 (2013). https://doi.org/10.1007/s40315-013-0007-1

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