Some sufficient conditions for starlikeness and convexity

Authors

MAMORU NUNOKAWA
SHIGEYOSHI OWA
YAŞAR POLATOĞLU
MERT ÇAĞLAR
EMEL YAVUZ DUMAN

Abstract

There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. Mocanu (1988), and M. Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f(z) are discussed.

DOI

10.3906/mat-0807-42

Keywords

Univalent, starlike, convex.

First Page

333

Last Page

338

Recommended Citation

NUNOKAWA, MAMORU; OWA, SHIGEYOSHI; POLATOĞLU, YAŞAR; ÇAĞLAR, MERT; and DUMAN, EMEL YAVUZ (2010) "Some sufficient conditions for starlikeness and convexity," Turkish Journal of Mathematics: Vol. 34: No. 3, Article 4. https://doi.org/10.3906/mat-0807-42
Available at: https://journals.tubitak.gov.tr/math/vol34/iss3/4