본문 바로가기
KERD
논문KCI 등재

On certain classes of multivalent functions involving a generalized differential operator

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Making use of a generalized differential operator we introduce some new subclasses of multivalent analytic functions in the open unit disk and investigate their inclusion relationships. Some integral preserving properties of these subclasses are also discussed.

Abstract

Making use of a generalized differential operator we introduce some new subclasses of multivalent analytic functions in the open unit disk and investigate their inclusion relationships. Some integral preserving properties of these subclasses are also discussed.

참고문헌 (10)

  1. S. S. Miller, "On some classes of first-order differential subordinations", Michigan Math. J., 32(2), pp.185~195 (1985)
  2. S. S. Miller, "Differential subordinations and inequalities in the complex plane", J. Differential Equations, 67(2), pp.199~211 (1987)
  3. S. Owa, "A note on certain subclass of Sakaguchi functions", Bull. Soc. Roy. Sci. Liege, 57(3), pp.143~149 (1988)
  4. F. Rønning, "Uniformly convex functions and a corresponding class of starlike functions", Proc. Amer. Math. Soc, 118(1), pp.189~196 (1993)
  5. K. Sakaguchi, "On a certain univalent mapping", J. Math. Soc. Japan, 11, pp.72~75 (1959)
  6. C. Selvaraj, "Classes of analytic functions of complex order involving a family of generalised linear operators", Pre-print, ~
  7. N.-E. Xu, "Some classes of analytic and multivalent functions involving a liner operator", 10.1016, 2008
  8. N.-E. Xu, "An application of differential subordinations and some criteria for starlikeness", Indian J. Pure Appl. Math, 36(10), pp.541~556 (2005)
  9. D.-G. Yang, "On Sakaguchi functions", Int. J. Math. Math. Sci, (30), pp.1923~1931 (2003)
  10. Z.-G. Wang, "Some subclasses of multivalent analytic functions involving the Dziok-Srivastava operator", Integral Transforms Spec. Funct, 19(1), pp.129~146 (2008)

관련 논문AI추천

이 간행물의 다른 논문 (18건)