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ArticleOriginal scientific text

Title

Some inequalities involving multivalent functions

Authors 1, 2, 3

Affiliations

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

Abstract

The object of the present paper is to derive some inequalities involving multivalent functions in the unit disk. One of our results is an improvement and a generalization of a result due to R. M. Robinson [4].

Keywords

ENG
analytic function, unit disk, 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. R. M. Robinson, Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35.
Annales Polonici Mathematici
1994-1995/60/2
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Pages:
159-162
Main language of publication
English
Received
1993-10-04
Accepted
1994-02-28
Published
1994
Exact and natural sciences