Introduction Polynomial skew products are regular polynomial endomorphisms of C2 of the form f(z, w

The object of the present paper is to consider L(r) for certain starlike mappings f(z) satisfying some subordination in U.. AMS 2010 Subject Classification:

Now, let G be a connected graph consisting of two or more vertices, and let v be some vertex of G. For any simplicial graph G and any simplicial clique K 6 G, the line graph of

Besides the classical case k = 1, this result was previously only known when Λ is the space of all polynomials or rational maps of degree d with marked critical points and k is

It is of more interest in arithmetic to have such requirements; for example if we insist that all of the coefficients of f are integers then the roots of f are the union of

With Kulkarni [11], they notably extend Crofton’s formula to the p-adic setting and derive new estimations on the num- ber of roots of a p-adic polynomial, establishing in

In contrast, by considering also the multipliers at the cycles with period 4, we are led to examine the rational points on a certain elliptic curve and we obtain the following

If λ is Brjuno and all critical points of the polynomial g 0 lie in basins of attracting or parabolic cycles, then all Fatou components of g 0 bulge, and there is a neighborhood of

We describe the behaviour at infinity of the bifurcation current in the mod- uli space of quadratic rational maps.. To this purpose, we extend it to some closed, positive (1,