منابع مشابه
extensions of some polynomial inequalities to the polar derivative
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15 صفحه اولRelative cohomology of polynomial mappings
Let F be a polynomial mapping from C to C with n > q. We study the De Rham cohomology of its fibres and its relative cohomology groups, by introducing a special fibre F−1(∞) ”at infinity” and its cohomology. Let us fix a weighted homogeneous degree on C[x1, ..., xn] with strictly positive weights. The fibre at infinity is the zero set of the leading terms of the coordinate functions of F . We i...
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Complex dynamics deals with the iteration of holomorphic functions. As is well known, the first functions to be studied which gave non-trivial dynamics were quadratic polynomials, which produced beautiful computer generated pictures of Julia sets and the Mandelbrot set. In the same spirit, this article aims to study the dynamics of the simplest non-trivial quasiregular mappings. These are mappi...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2002
ISSN: 1080-6377
DOI: 10.1353/ajm.2002.0002