PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 39(53), pp. 107118 (1986) 

CERTAIN APPLICATIONS OF DIFFERENTIAL SUBORDINATIONK. S. Padmanabhan and R. ManjiniThe Ramanujan Institute, University of Madras, Madras 600005, India.Abstract: Let $A$ denote the class of functions $f$ regular in the unit disc $E$, such that $f(0)=0=f'(0)1$. Let $k_a(z)= z/(1z)^a$ where a is a real number. We denote by $K_a(h)$ the class of functions $f\in A$ satisfying $1+\frac{z(k_a\ast f)''(z)}{(k_a\ast f)'(z)}\prec h(z)$, where $h$ is a convex univalent function in $E$ with $h(0)=1$ and Re$a(h(z))>0$. Several properties of the class $K_a(h)$ are investigated. Certain allied classes are also studied. Classification (MSC2000): 30C45 Full text of the article:
Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
