ON A CLASS OF UNIVALENT FUNCTIONS

VIKRAMADITYA SINGH

《International Journal of Mathematics and Mathematical Sciences》 2000卷 (2000/12) Pp. 855-857-103

https://doi.org/10.1155/S0161171200001824

摘要

We consider the class of univalent functions f(z) = z+a_3z^3+a_4z^4+・・・ analytic in the unit disc and satisfying |(z^ 2f’(z)/f^2(z))−1| ＜ 1, and show that such functions are starlike if they satisfy |(z^2f’ (z)/f^2(z))−1| ＜ (1/√2).

關鍵字

Analytic ； univalent ； starlike functions