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Subordination results for some subclasses of analytic functions

R. M. El-Ashwah;  M. K. Aouf;  A. Shamandy;  E. E. Ali — 2011

Mathematica Bohemica

We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator D λ , ℓ n . q , s ( n ∈ ℕ 0 = { 0 , 1 , ⋯ } , q ≤ s + 1 ; q , s ∈ ℕ 0 , 0 ≤ α < 1 , λ ≥ 0 , ℓ ≥ 0 ) . Basic properties of these classes are studied, such as coefficient bounds. Various known or new special cases of our results are also pointed out. For these new function classes, we establish subordination theorems and also deduce some corollaries of these results.

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