Fekete-Szegö, difference of initial coefficient and Toeplitz determinant for certain analytic function related to $q$-convex function associated with modified $q$-Sigmoid function
Karri SANJAY KUMAR
Received July 14, 2025. Published online February 27, 2026.
Abstract: We introduce and investigate a new class of $q$-convex related analytic functions that generalizes the classical convex functions by incorporating $q$-calculus, the parameter $\alpha\in[0,1)$ and subordination to the modified $q$-Sigmoid function. The primary objective is to determine sharp bounds for the initial coefficients, the Fekete-Szegö functional, coefficient differences, and certain orders of the Toeplitz determinant associated with this newly defined class.
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Affiliations: Karri Sanjay Kumar, Unitedworld Institute of Technology, Karnavati University, Adalaj-Uvarsad Road, Gandhinagar 382422, Gujarat, India, e-mail: sanjay895017@gmail.com
