• ON PARTIAL SUMS OF CERTAIN NEW CLASS OF ANALYTIC AND UNIVALENT FUNCTIONS
Abstract
Let be an arbitrary fixed point in the open unit disk . Let be a fixed analytic and univalent functions of the form be the subclass consisting of analytic and univalent functions of the form which satisfy the condition .
In the present investigation the author determines the sharp lower bounds for and where be the sequence of the partial sums of a function belonging to the class and denotes the Aouf derivative operator [2]. This investigation does not only extends the results in [4.5.12.15] but also provides some conditions as remedy for the results of Frasin in [4] and [5]. Our present investigations also give rise to many new classes with new results.
In the present investigation the author determines the sharp lower bounds for and where be the sequence of the partial sums of a function belonging to the class and denotes the Aouf derivative operator [2]. This investigation does not only extends the results in [4.5.12.15] but also provides some conditions as remedy for the results of Frasin in [4] and [5]. Our present investigations also give rise to many new classes with new results.
Keywords
Analytic, univalent, partial sums, sequence, Aouf derivative operator.
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