Subclasses of Analytic Functions Associated with Generalised Multiplier Transformations
Author(s) -
Rashidah Omar,
Suzeini Abdul Halim
Publication year - 2012
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.5402/2012/632429
Subject(s) - multiplier (economics) , mathematics , analytic function , pure mathematics , algebra over a field , operator (biology) , unit (ring theory) , mathematical analysis , mathematics education , biochemistry , chemistry , repressor , gene , transcription factor , economics , macroeconomics
New subclasses of analytic functions in the open unit disc are introduced which are defined using generalised multiplier transformations. Inclusion theorems are investigated for functions to be in the classes. Furthermore, generalised Bernardi-Libera-Livington integral operator is shown to be preserved for these classes.
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