Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator

Isra Al-shbeil, Jianhua Gong, Timilehin Gideon Shaba

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk. We then study a new class of analytic and bi-univalent functions defined in the open unit disk associated with the q-Babalola convolution operator. The main results of the investigation include some upper bounds for the initial Taylor–Maclaurin coefficients and Fekete–Szego inequalities for the functions in the new class. Many applications of the finds are highlighted in the corollaries based on the various unique choices of the parameters, improving the existing results in Geometric Function Theory.

Original languageEnglish
Article number155
JournalFractal and Fractional
Issue number2
Publication statusPublished - Feb 2023


  • Babalola operator
  • bi-univalent functions
  • coefficient estimates
  • Fekete–Szego inequalities
  • q-Babalola convolution operator
  • Ruscheweyh operator

ASJC Scopus subject areas

  • Analysis
  • Statistical and Nonlinear Physics
  • Statistics and Probability


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