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Radii of Starlikeness of Ratios of Analytic Functions with Fixed Second Coefficients

Author

Listed:
  • Shalini Rana

    (Department of Mathematics, University of Delhi, Delhi 110007, India
    These authors contributed equally to this work.)

  • Om P. Ahuja

    (Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA)

  • Naveen Kumar Jain

    (Department of Mathematics, Aryabhatta College, Delhi 110021, India
    These authors contributed equally to this work.)

Abstract

We introduce three classes of analytic functions with fixed second coefficients that are defined using the class P of analytic functions with positive real parts. The objective of this paper is to determine the radii such that the three classes are contained in various subclasses of starlike functions. The radii estimated in the present investigation are better than the radii obtained earlier. Furthermore, connections with previously known results are shown.

Suggested Citation

  • Shalini Rana & Om P. Ahuja & Naveen Kumar Jain, 2022. "Radii of Starlikeness of Ratios of Analytic Functions with Fixed Second Coefficients," Mathematics, MDPI, vol. 10(23), pages 1-26, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4428-:d:982551
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