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The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings
Author(s) -
Maisarah Haji Mohd,
Maslina Darus
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/356915
Subject(s) - mathematics , harmonic , class (philosophy) , function (biology) , pure mathematics , computer science , physics , artificial intelligence , acoustics , evolutionary biology , biology
Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form ()=ℎ()() defined on the open unit disc . The functions are in the class of the generalized Janowski starlike log-harmonic mapping, ∗lh(,,), with the functional ℎ() in the class of the generalized Janowski starlike functions, ∗(,,). By means of these functions, we obtained results on the generalized Janowski close-to-starlike log-harmonic mappings, lh(,,)

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