Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions

作者：Nagpal Sumit^*; Ravichandran V

来源：Annales Polonici Mathematici, 2012, 105(3): 225-238.

DOI：10.4064/ap105-3-2

• differential subordination
• fixed initial coefficient
• convex and starlike functions

By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions becomes evident in the results obtained.

• 出版日期2012