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Univalent harmonic mappings and linearly connected domains
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2007)
We investigate the relationship between the univalence of f and of h in the decomposition f = h + (g) over bar of a serise-preserving harmonic mapping defined in the unit disk D subset of C. Among other results, we determine ...
A Graphical Method to Assess Component Overload due to Harmonic Resonances in Wind Parks
(2020-01-01)
One of the impacts of harmonic resonances in wind parks is to overload wind park components. The process of identifying a problematic component may be time-consuming due to the number of scenarios and different components ...
Affine and linear invariant families of harmonic mappings.
We study the order of affine and linear invariant families of planar harmonic mappings in the unit disk. By using the famous shear construction of Clunie and Sheil-Small, we construct a function to determine the order of ...
Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings.
In this paper we introduce a definition of the pre-Schwarzian and the Schwarzian derivatives of any locally univalent harmonic mapping f in the complex plane without assuming any additional condition on the (second complex) ...
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings
(SPRINGER BASEL AG, 2019)
On the univalence of certain integral for harmonic mappings
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017)
Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere
(Academic Press Inc Elsevier Science, 2001-06)
We study the class of maps from the open unit disk into the Riemann sphere or into [−∞, +∞] that can be continuously extended to the maximal ideal space of H∞. Several characterizations are given for these classes and the ...
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings.
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289–298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian ...
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings.
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289–298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian ...