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Subordination and superordination for meromorphic functions associated with the multiplier transformation

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The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.

Abstract

The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.

참고문헌 (15)

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  7. S. S. Miller, "Differential Subordination, Theory and Applications" (2000), Marcel Dekker, Inc
  8. S. S. Miller, "Subordinants of differential superordinations", Complex Var. Theory Appl, 48, pp.815~826 (2003)
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  12. S. M. Sarangi, "Certain differential operators for meromorphic functions", Bull. Cal. Math. Soc, 88, pp.333~336 (1996)
  13. H. M. Srivastava, "Current Topics in Analytic Function Theory" (1992), World Scientific Publishing Company
  14. B. A. Uralegaddi, "New criteria for meromorphic starlike functions", Bull. Auatral Math. Soc, 43, pp.137~140 (1991)
  15. B. A. Uralegaddi, "Certain differential operators for meromorphic functions", Houston J. Math, 17, pp.279~284 (1991)

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