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

Shalini Rana, Om P. Ahuja () and Naveen Kumar Jain
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Shalini Rana: Department of Mathematics, University of Delhi, Delhi 110007, India
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

Mathematics, 2022, vol. 10, issue 23, 1-26

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.

Keywords: univalent functions; subordination; starlike functions; radius of starlikeness; radii constants (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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