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Subordination and Superordination for Multivalent Functions associated with the Differintegral Operator

권오상|조낙은
경북대학교 자연과학대학 수학과|2013.03|Kyungpook Mathematical Journal|제53권 제1호|pp. 1-12

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참고문헌

키워드

subordinationconvex functionsuperordinationunivalent functiondifferintegral operator
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초록

The purpose of the present paper is to obtain some subordination- and superordination- preserving properties for multivalent function associated the differintegral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich type theorem for the integral operator is also considered.

Abstract

The purpose of the present paper is to obtain some subordination- and superordination- preserving properties for multivalent function associated the differintegral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich type theorem for the integral operator is also considered.

참고문헌 (15)

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  11. S. Owa, "Some subordination theorems involving a certain family of integral operators", Integral Transforms Spec. Funct., 15, pp.445~454 (2004)
  12. Ch. Pommerenke, "Univalent Functions" (1975), Vanderhoeck and Ruprecht
  13. H. M. Srivastava, "A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients. I and II", J. Math. anal. Appl., 171, pp.1~13 (1992)
  14. H. M. Srivastava, "A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients. II", 192, pp.673~688 (1995)
  15. H. M. Srivastava, "A fractional differintegral operator and its applications to a nested class of multivalent functions with negative coefficients", Adv. Stud. Contemp. Math., 7, pp.203~214 (2003)

관련 논문AI추천

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