Symmetry (Oct 2021)

Coefficient Estimates for a Subclass of Meromorphic Multivalent <i>q</i>-Close-to-Convex Functions

  • Lei Shi,
  • Bakhtiar Ahmad,
  • Nazar Khan,
  • Muhammad Ghaffar Khan,
  • Serkan Araci,
  • Wali Khan Mashwani,
  • Bilal Khan

DOI
https://doi.org/10.3390/sym13101840
Journal volume & issue
Vol. 13, no. 10
p. 1840

Abstract

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By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex functions with the help of a q-differential operator. Furthermore, we investigate some useful properties such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity for this new subclass.

Keywords