Coefficient Estimates for Certain Classes of Analytic Functions Involving the Extended q-Fractional Operator

Areej Alomar; Maslina Darus; Khalid M. K. Alshammari

doi:10.17576/jqma.2102.2025.20

Coefficient Estimates for Certain Classes of Analytic Functions Involving the Extended q-Fractional Operator

Authors

Areej Alomar Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, MALAYSIA
Maslina Darus Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, MALAYSIA
Khalid M. K. Alshammari Department of Mathematics, College of Science, University of Ha’il, SAUDI ARABIA

DOI:

https://doi.org/10.17576/jqma.2102.2025.20

Keywords:

analytic function, Hankel determinant, Fekete-Szegö theorem, quantum calculus

Abstract

In this paper, a new extended q-fractional operator using the convolution of the Al-Oboudi differential operator with the q-fractional integral operator 𝒥_q^α,τ f(z) is introduced. The q-fractional integral operator 𝒥_q^α,τ f(z) was recently defined and many new results are yet to be studied. From this extended operator, the coefficient problems involving the second Hankel determinant H₂² f(z) and the Fekete-Szegö theorem are solved.

Downloads

Published

27-09-2026

How to Cite

Alomar, A., Darus, M., & Alshammari, K. M. K. (2026). Coefficient Estimates for Certain Classes of Analytic Functions Involving the Extended q-Fractional Operator. Journal of Quality Measurement and Analysis, 21(2), 301–314. https://doi.org/10.17576/jqma.2102.2025.20