Some sufficient conditions for starlikeness and convexity

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Nunokawa M., Owa S., Polatoğu Y., Çağlar M., Yavuz Duman E.

TURKISH JOURNAL OF MATHEMATICS, vol.34, no.3, pp.333-338, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.3906/mat-0807-42
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.333-338
  • Istanbul Kültür University Affiliated: Yes

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.