A NEW SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO $q$-DIFFERENTIAL OPERATOR AND INVOLUTION NUMBERS

Authors

  • P. Nandini Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, INDIA Author
  • S. Yalcin Department of Mathematics, University of Bursa Uludag, Görükle, Bursa, TURKIYE Author
  • S. Latha Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, INDIA Author

DOI:

https://doi.org/10.56827/bqryek23

Keywords:

Analytic functions, Univalent and Bi-univalent functions, Fekete-Szeg$\ddot{o}$ inequality, Involution numbers and Salagean $q$-differential operator

Abstract

In this work, we employ the Salagean \(q\)-differential operator in conjunction with involution numbers to define a new subclass of bi-univalent functions in the open unit disk. For this class, we derive coefficient estimates, including bounds for the general Taylor–Maclaurin coefficients and the Fekete–Szegő functional coefficients.

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Published

12-10-2026

Issue

Vol. 22 No. 2 (2026): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Research Article