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2. DIFFERENTIAL SUBORDINATION FOR A CERTAIN GENERALIZED OPERATOR.

Author

AL-ABBADI, M. H. and DARUS, M.

Subjects
*DERIVATIVES (Mathematics), *INTEGRAL operators, *DIFFERENTIAL operators, *DIFFERENTIAL inclusions, *ANALYTIC functions, *CONVEX functions, *HADAMARD matrices
Abstract

The authors have recently introduced a new generalized derivative operator μλ1,λ2n,m, that generalized many well-known operators. The trend of finding new differential or integral operators has attracted widespread interest. The aim of this paper is to use the relation ... to discuss some interesting results by using the technique of differential subordination. The results include both subordination and inclusion. In the case of n = 0,λ2 = 0, we obtain the results of Oros [11]. [ABSTRACT FROM AUTHOR]

Published
2012
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