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

Tom 105 / 2012

Sumit Nagpal, V. Ravichandran Annales Polonici Mathematici 105 (2012), 225-238 MSC: Primary 30C80. DOI: 10.4064/ap105-3-2

Streszczenie

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.

Autorzy

  • Sumit NagpalDepartment of Mathematics
    University of Delhi
    Delhi-110 007, India
    e-mail
  • V. RavichandranDepartment of Mathematics
    University of Delhi
    Delhi-110 007, India
    and
    School of Mathematical Sciences
    Universiti Sains Malaysia
    11800 USM, Penang, Malaysia
    e-mail
    e-mail

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