Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre polynomials
Date
2022
Authors
Cheng, Ying
Srivastava, Rekha
Liu, Jin-Lin
Journal Title
Journal ISSN
Volume Title
Publisher
Axioms
Abstract
By using the q-derivative operator and the Legendre polynomials, some new subclasses
of q-starlike functions and bi-univalent functions are introduced. Several coefficient estimates and
Fekete–Szegö-type inequalities for functions in each of these subclasses are obtained. The results
derived in this article are shown to extend and generalize those in some earlier works.
Description
Keywords
analytic functions, bi-univalent functions, q-derivative operator, subordination between analytic functions, Legendre polynomials, Fekete–Szegö inequality
Citation
Cheng, Y., Srivastava, R., & Liu, J. (2022). “Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre polynomials.” Axioms, 11(11), 595. https://doi.org/10.3390/axioms11110595