논문KCI 등재
On sandwich theorems for certain subclasses of analytic functions involving Carlson-Shaffer operator
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초록
The purpose of this present paper is to derive some subordination and superordination results involving Carlson–Shaffer operator for certain normalized analytic functions in the open unit disk.Relevant connections of the results, which are presented in the paper, with various known results are also considered.
Abstract
The purpose of this present paper is to derive some subordination and superordination results involving Carlson–Shaffer operator for certain normalized analytic functions in the open unit disk.Relevant connections of the results, which are presented in the paper, with various known results are also considered.
참고문헌 (12)
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- S. S. Miller, "Differential Subordinations: Theory and Applications" (2000), Marcel Dekker
- S. S. Miller, "Subordinants of differential superordinations", Complex Variables, 48(10), pp.815~826 (2003)
- M. Obradovic, "A class of univalent functions", Hokkaido Mathematical Journal, 27(2), pp.329~335 (1998)
- S. Ruscheweyh, "New criteria for univalent functions", Proc. Amer. Math. Soc., 통권 : 49, pp.109~115 (1975)
- T. N. Shanmugam, "S. Sivasubramanian, Differential sandwich theorems for some subclasses of analytic functions", Australian Journal of Mathematical Analysis and Applications
- H. M. Srivastava, "Some applications of the Briot-Bouquet differential subordination", Journal of Inequalities in Pure and Applied Mathematics, 6(2), pp.7~ (2005)
- N. Tuneski, "On certain sufficient conditions for starlikeness", International Journal of Mathematics and Mathematical Sciences, 23(8), pp.521~527 (2000)
- N. Tuneski, "Fekete-Szeg¨o functional for non-Bazilevic functions", Acta Mathematica Academia Paedagogicae Nyiregyhaziensis, 18, pp.63~65 (2000)
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