The parameter planes of \(\lambda z^m \exp(z)\) for \(m \geq 2\)

DOI10.1007/s00220-007-0265-8zbMath1146.37031OpenAlexW1975380126MaRDI QIDQ946511

Núria Fagella, Antonio Garijo

Publication date: 23 September 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-007-0265-8

zbMATH Keywords

basin of attractioncritical pointquasiconformal mapscapture zonesentire transcendental mapssuperattracting fixed point

Mathematics Subject Classification ID

Related Items (10)

Convergence of rays with rational argument in hyperbolic components—an illustration in transcendental dynamics ⋮ Accessible boundary points in the shift locus of a family of meromorphic functions with two finite asymptotic values ⋮ An effective algorithm to compute Mandelbrot sets in parameter planes ⋮ Dynamical convergence of polynomials to products of power maps and the exponential ⋮ Slices of parameter space for meromorphic maps with two asymptotic values ⋮ Expansion properties of double standard maps ⋮ Real saddle-node bifurcation from a complex viewpoint ⋮ Relating singularly perturbed rational maps to families of entire maps ⋮ Dynamics of the meromorphic families $f_\lambda=\lambda \tan^pz^q$ ⋮ On the formulas of meromorphic functions with periodic Herman rings

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