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2 Journal of Applied Mathematics and Computational Mechanics

2 2016

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An example of non-Keller mapping

Pawlak E., Lara-Dziembek S., Biernat G., Woźniakowska M.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 1

115--121

In the paper a nontrivial example of non-Keller mapping is considered. It is shown that the Jacobian of rare mapping, having one zero at infinity, being constant must vanish.

A second example of non-Keller mapping

Lara-Dziembek S., Biernat G., Pawlak E., Woźniakowska M.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 2

65--70

In the article the next nontrivial example of non-Keller mapping having two zeros at infinity is analyzed. The rare mapping of two complex variables having two zeros at infinity is considered. In the article it has been proved that if the Jacobian of the considered mapping is constant, then it is zero.