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# Differential sandwich theorems for some subclasses of analytic functions associated with linear operator

@article{Shanmugam2007DifferentialST, title={Differential sandwich theorems for some subclasses of analytic functions associated with linear operator}, author={T. N. Shanmugam and A. Singaravelu}, journal={Applied Mathematics and Computation}, year={2007}, volume={187}, pages={445-454} }

- Published 2007 in Applied Mathematics and Computation
DOI:10.1016/j.amc.2006.08.144

Let q1 and q2 be univalent in ∆ := {z : |z| < 1} with q1(0) = q2(0) = 1. We give some applications of first order differential subordination and superordination to obtain sufficient conditions for a normalized analytic functions f with f(0) = 0 , f ′(0) = 1 to satisfy q1(z) ≺ zf ′(z) f(z) λ ≺ q2(z).

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