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Harmonic mappings related to functions with bounded boundary rotation and norm of the pre-Schwarzian derivative

Stanislawa Kanas|Dominika Klimek-Smet
대한수학회 (The Korean Mathematical Society)|2014.05|대한수학회보 (Bulletin of the KMS)|제51권 제3호|pp. 803-812

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참고문헌

키워드

univalent harmonic mappingsfunctions with bounded boundary rotation
주제분류수학

초록

Let S0 H be the class of normalized univalent harmonic mappings in the unit disk. A subclass VH(k) of S0 H, whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in VH(k) are given.

Abstract

Let S0 H be the class of normalized univalent harmonic mappings in the unit disk. A subclass VH(k) of S0 H, whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in VH(k) are given.

참고문헌 (20)

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