Sufficient conditions for multivalent starlikeness

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

Abstrakty

EN

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

Słowa kluczowe

EN

analytic; open unit disk; p-valently starlike; 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: 1995
• Tom: 62
• Numer: 1
• Strony: 75-78

Daty

wydano

1995

otrzymano

1994-09-10

Twórcy

autor

Shigeyoshi Owai

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

autor

Mamoru Nunokawa

• Department of Mathematics, Gunma University, 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] S. Owa, M. Nunokawa and S. Fukui, A criterion for p-valently starlike functions, Internat. J. Math. and Math. Sci., to appear.