ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXVI, 2 (2007)
p. 287 - 294
Differential Sandwich Theorems for some Subclasses of Analytic Functions Involving a Linear Operator
T. N. Shammugam, C. Ramachandran, M. Darus and S. Sivasubramanian
Abstract.
By making use of the familiar Carlson-Shaffer operator,the authors derive
derive some subordination and superordination results for certain normalized
analytic functions in the open unit disk. Relevant connections of
the results, which are presented in this paper, with various other
known results are also pointed out.
Keywords:
differential subordinations,
differential superordinations, sominant, subordinant.
AMS Subject classification. Primary: 30C80; Secondary: 30C45.
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