• Title/Summary/Keyword: Al-Oboudi derivative

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Coefficient Inequalities for Certain Subclasses of Analytic Functions Defined by Using a General Derivative Operator

  • Bulut, Serap
    • Kyungpook Mathematical Journal
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    • v.51 no.3
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    • pp.241-250
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    • 2011
  • In this paper, we define new classes of analytic functions using a general derivative operator which is a unification of the S$\breve{a}$l$\breve{a}$gean derivative operator, the Owa-Srivastava fractional calculus operator and the Al-Oboudi operator, and discuss some coefficient inequalities for functions belong to this classes.

Neighborhood Properties for Certain Subclasses of Analytic Functions of Complex Order with Negative Coefficients

  • Bulut, Serap
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.211-220
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    • 2014
  • In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we prove several inclusion relations associated with the (n, ${\delta}$)-neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Al-Oboudi derivative. Several special cases of the main results are mentioned.