Some inequalities involving multivalent functions

• Autorzy: Shigeyoshi Owa , Mamoru Nunokawa , Hitoshi Saitoh
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

analytic function; unit disk; Jack's lemma

Kategorie tematyczne

• 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1994-1995
• Tom: 60
• Numer: 2
• Strony: 159-162

Daty

wydano

1994

otrzymano

1993-10-04

poprawiono

1994-02-28

Twórcy

autor

Shigeyoshi Owa

• Department of Mathematics, Kinki University, Higashi-osaka, Osaka 577, Japan

autor

Mamoru Nunokawa

• Department of Mathematics, University of Gunma, Aramaki, Maebashi, Gunma 371, Japan

autor

Hitoshi Saitoh

• Department of Mathematics, Gunma College of Technology, Toriba, Maebashi, Gunma 371, Japan

Bibliografia

• [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.