A+ CATEGORY SCIENTIFIC UNIT

On certain subclasses of analytic functions involving a linear operator

Volume 78 / 2002

J. Patel, G. P. Mohapatra Annales Polonici Mathematici 78 (2002), 159-173 MSC: Primary 30C45. DOI: 10.4064/ap78-2-6

Abstract

A certain general class ${\cal S}(a, c, A, B)$ of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.

Authors

  • J. PatelDepartment of Mathematics
    Utkal University
    Vani Vihar
    Bhubaneswar 751004, India
    e-mail
  • G. P. MohapatraSilicon School of Information Technology
    Commercial Complex
    Acharya Vihar
    Bhubaneswar 751013, India

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