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2012•ISRN Mathematical AnalysisOpen access

Subclasses of Analytic Functions Associated with Generalised Multiplier Transformations

Rashidah Omar, Suzeini Abdul Halim

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Abstract

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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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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Available abstract

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.

Key concepts: Multiplier (economics), Mathematics, Analytic function, Pure mathematics, Algebra over a field, Operator (biology), Unit (ring theory), Mathematical analysis

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