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2 Journal of Applied Mathematics and Computational Mechanics

2 2016

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The Jacobians of non-maximal degree

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

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 4

99--104

In the article the leading forms of the polynomial mapping having the Jacobians of non-maximal degree are considered. In particular, the mappings having two zeros at infinity are discussed.

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.