A New Application of Miller and Mocanu Lemma

Abstract

n this paper, we discuss a new application of Miller and Mocanu lemma (Miller and Mocanu,
1978) for f ( ) z concerned with the classes R ( ) α,ρ and P( )

Keywords

• function,Jack lemma,Miller and Mocanu lemma

Miller ve Mocanu Lemmasının Yeni Bir Uygulaması

Abstract

Bu çalışmada, R ( ) α,ρ ve P( ) α,r .sınıflarına ait f ( ) z fonksiyonu için Miller ve Mocanu lemmasının
(Miller and Mocanu, 1978) yeni bir uygulaması verilecektir.

Keywords

• Analitik fonksiyon,Jack lemması,Miller ve Mocanu lemmas

References

1. Jack IS, 1971. Functions starlike and convex of order . J. London Math. Soc., 3: 469-474.
2. Miller SS., Mocanu PT, 1978. Second order differential inequalities in the complex plane. J. Math. Anal. Appl., 65: 289-305.
3. Mocanu PT, 1988. Some starlikeness conditions for analytic functions. Rev. Roumaine Math. Pures Appl., 33: 117-124.
4. Nunokawa M, 1993. On the order of strongly starlikeness of strongly convex functions. Proc. Japan Acad., 68: 234-237.
5. Nunokawa M, Owa S, Polatoglu Y, Caglar M, Yavuz Duman E, 2010. Some sufficient conditions for starlikeness and convexity. Turk. J. Math., 34: 333-337.
6. Singh R, Singh S, 1982. Some sufficient conditions for univalence and starlikeness. Colloq. Math., 47: 301-314.