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Sandwich theorems for higher-order derivatives of p-valent functions defined by certain linear operator

M. K. Aouf|Tamer M. Seoudy
대한수학회 (The Korean Mathematical Society)|2011.05|대한수학회보 (Bulletin of the KMS)|제48권 제3호|pp. 627-636

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참고문헌

키워드

Hadamard productdifferential subordinationsuperordinationanalytic functionlinear operator
주제분류수학

초록

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

Abstract

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

참고문헌 (15)

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  9. S. S. Miller, "Differential Subordination, Monographs and Textbooks in Pure and Applied Mathematics", pp.225~ (2000), Marcel Dekker, Inc
  10. S. S. Miller, "Subordinants of differential superordinations", Complex Var. Theory Appl, 48(10), pp.815~826 (2003)
  11. V. O. Nechita, "Differential subordinations and superordinations for analytic functions defined by the generalized Salagean derivative", Acta Univ. Apulensis Math. Inform, (16), pp.143~156 (2008)
  12. S. Ruscheweyh, "New criteria for univalent functions", Proc. Amer. Math. Soc, 통권 : 49, pp.109~115 (1975)
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