[PDF][PDF] Subordination for higher-order derivatives of multivalent functions
Journal of Inequalities and Applications, 2008•Springer
… In this paper, corresponding to an appropriate subordinate function Q z defined on the
unit disk U, sufficient conditions are obtained for a p-valent function f to satisfy the
subordination … 1, the second subordination gives conditions for starlikeness of functions.
Thus results obtained in this paper give important information on the geometric properties of
functions satisfying differential subordination conditions involving higher-order derivatives. …
unit disk U, sufficient conditions are obtained for a p-valent function f to satisfy the
subordination … 1, the second subordination gives conditions for starlikeness of functions.
Thus results obtained in this paper give important information on the geometric properties of
functions satisfying differential subordination conditions involving higher-order derivatives. …
Differential subordination methods are used to obtain several interesting subordination results and best dominants for higher-order derivatives of-valent functions. These results are next applied to yield various known results as special cases.
Springer
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