The generalized Janowski starlike and close-to-starlike log-harmonic mappings

Maisarah Haji Mohd, Maslina Darus

Research output: Contribution to journalArticle

Abstract

Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form f (z) = zh(z)g(z) defined on the open unit disc U. The functions are in the class of the generalized Janowski starlike log-harmonic mapping, S *lh (A, B, α), with the functional z h (z) in the class of the generalized Janowski starlike functions, S * (A, B, α). By means of these functions, we obtained results on the generalized Janowski close-to-starlike log-harmonic mappings, CST lh (A, B, α).

Original languageEnglish
Article number356915
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2011
DOIs
Publication statusPublished - 2011

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Harmonic Mapping
Starlike Functions
Generalized Functions
Unit Disk
Class

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

The generalized Janowski starlike and close-to-starlike log-harmonic mappings. / Haji Mohd, Maisarah; Darus, Maslina.

In: International Journal of Mathematics and Mathematical Sciences, Vol. 2011, 356915, 2011.

Research output: Contribution to journalArticle

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