SUFFICIENT CONDITIONS FOR MEROMORPHIC STARLIKENESS AND CLOSE-TO-CONVEXITY OF ORDER α NAK EUN CHO and SHIGEYOSHI OWA

On starlikeness and close-to-convexity of certain analytic functions

Some Sufficient Conditions for Univalence and Starlikeness

The object of the present paper is to derive certain sufficient conditions for univalence, p-valently starlikeness and p-valently close-to-convexity of analytic functions in the unit disk. Our results extend and improve some results due to Owa [3], Frasin and Darus [2] and Chen [1].

Close-to-convexity, starlikeness, and convexity of certain analytic functions

‘The present investigation was supported, in part, by the Japanese Ministry of Education, Science and Culture tinder Grant-in-Aid for General Scientific Research (No. 046204) and, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant 0GP0007353. A preliminary report on this paper was presented at the spring meeting of the Mathematical Society of Japan held at W...

Some Conditions for Strongly Starlikeness of Certain Analytic Functions

For analytic functions f(z) in the open unit disk U with f(0) = 0 and f ′(0) = 1, S. S. Miller, P. T. Mocanu and M. O. Reade (Proc. Amer. Math. Soc. 37(1973)) have introduced α-convex functions in U with some condition, and Z. Lewandowski, S. S. Miller and E. Zl /otkiewicz (Ann. Univ. Marie-Curie Skl /odowska 27(1974)) have discussed γ-starlike functions in U with some condition. The object of ...

Partial Sums of Certain Analytic Functions

The object of the present paper is to consider the starlikeness and convexity of partial sums of certain analytic functions in the open unit disk. 2000 Mathematics Subject Classification. Primary 30C45.