Title of article :
Second-Order Differential Subordination for Analytic Functions with Fixed Initial Coeffcient
Author/Authors :
Ali, Rosihan M. Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Nagpal, Sumit University of Delhi - Department of Mathematics, India , Ravichandran, V. Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Ravichandran, V. University of Delhi - Department of Mathematics, India
Abstract :
Functions with fixed initial coefficient have been widely studied. A new methodology is proposed in this paper by making appropriate modifications and improvements to the theory of second-order differential subordination. Several interesting examples are given. The results obtained are applied to the classes of convex and starlike functions with fixed second coefficient.
Keywords :
Differential subordination , extended Schwarz lemma , fixed initial coeffcient , convex functions , starlike functions
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
