Analytic families of semihyperbolic generalized polynomial-like mappings

Analytic Families of Semihyperbolic Generalized Polynomial-like Mappings

We show that the Hausdorff dimension of Julia sets in any analytic family of semihyperbolic generalized polynomial-like mappings (GPL) depends in a real-analytic manner on the parameter. For the proof we introduce abstract weakly regular analytic families of conformal graph directed Markov systems. We show that the Hausdorff dimension of limit sets in such families is real-analytic, and we asso...

Multifractal Analysis for Parabolically Semihyperbolic Generalized Polynomial-like Maps

Real Analyticity of Topological Pressure for Parabolically Semihyperbolic Generalized Polynomial-like Maps

Computation on Zagreb Polynomial of Some Families of Dendrimers

In mathematical chemistry, a particular attention is given to degree-based graph invariant. The Zagrebpolynomial is one of the degree based polynomials considered in chemical graph theory. A dendrimer isan artificially manufactured or synthesized molecule built up from branched units called monomers. Inthis note, the first, second and third Zagreb poly...

Complex Analytic Mappings