Download PDF - Sufficient conditions for multivalent starlikenessAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Sufficient conditions for multivalent starlikeness

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577, Japan
  2. Department of Mathematics, Gunma University, Maebashi, Gunma 371, Japan
  3. Department of Mathematics, Gunma College of Technology, Toriba, Maebashi, Gunma 371, Japan

Abstract

Let *(p) be the class of functions f(z) which are p-valently starlike in the open unit disk . Two sufficient conditions for a function f(z) to be in the class *(p) are shown.

Keywords

ENG
analytic, open unit disk, p-valently starlike, Jack's lemma

Bibliography

  1. I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3 (1971), 469-474.
  2. S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl. 65 (1978), 289-305.
  3. M. Nunokawa, On properties of non-Carathéodory functions, Proc. Japan Acad. 68 (1992), 152-153.
  4. S. Owa, M. Nunokawa and S. Fukui, A criterion for p-valently starlike functions, Internat. J. Math. and Math. Sci., to appear.
Annales Polonici Mathematici
1995/62/1
Export to PBN, Opens in new tab
Pages:
75-78
Main language of publication
English
Received
1994-09-10
Published
1995
Exact and natural sciences