On strongly starlike multivalent functions of order β and type α

✍ Scribed by N-eng Xu; Ding-Gong Yang; Shigeyoshi Owa

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 126 KB
• Volume: 283
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200710077

✦ Synopsis

Abstract

For analytic and p ‐valent functions f (z) in the open unit disk 𝕌, a new subclass $ \tilde S^*_p $(α, β) consisting of the functions f (z) which are strongly starlike p ‐valent of order β and type α is introduced. The object of the present paper is to derive some sufficient conditions for f (z) to be in the class $ \tilde S^*_p $(α, β). In particular, our results extend and improve some results given by Nunokawa et al. [J. Math. Anal. Appl. 212, 98–106 (1997)] (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)