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}
}
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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