BI–UNIVALENCY OF q–GENERALIZED DISTRIBUTION SERIES CONJUGATED WITH SECOND EINSTEIN NUMBER


Olatunji S. O., Oluwayemi M., AKGÜL A., Abdulwahab R.

Journal of Classical Analysis, vol.28, no.1, pp.121-136, 2026 (Scopus)

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.7153/jca-2026-28-08
  • Journal Name: Journal of Classical Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.121-136
  • Keywords: analytic function, convex function, q-generalized distribution series, starlike function, Univalent function
  • Kocaeli University Affiliated: Yes

Abstract

The q-derivative operator continues to gain attention among function theorists due to its broad applicability. However, its connections to distribution series remain largely unexplored. In this paper, we investigate the q-generalized distribution series and its inverse associated with the second Einstein number, employing subordination methods. Initial coefficient estimates are derived for two function subclasses introduced in this work.