Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

Isra Al-shbeil, Nazar Khan, Fairouz Tchier, Qin Xin, Sarfraz Nawaz Malik, Shahid Khan

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these functions. Furthermore, we define the Salagean differential operator and discuss various applications of our main findings using it. A few new and well-known corollaries are studied in order to show the connection between recent and earlier work.
Original languageEnglish
Article number317
Number of pages17
JournalAxioms
Volume12
Issue number4
DOIs
Publication statusPublished - 23 Mar 2023

Keywords

  • analytic functions
  • univalent functions
  • bi-univalent functions
  • m-fold symmetric functions
  • coefficient estimates

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