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
From page
611
To page
629
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
Record number
2549914
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