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February 25, 2026Acta Universitatis Sapientiae Mathematica0 citationsOpen Access

Fekete–Szegő functional and coefficient problems for the inverse of q-convex functions associated with the q-exponential function

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KKK. Krishna Kumar

Key Points

  • The aim is to establish sharp bounds for initial coefficients and related functionals within q-convex functions.
  • Investigated a class of q-convex functions generalizing classical convexity
  • Applied q-calculus and subordination to the q-exponential function
  • Analyzed the Fekete-Szegö functional and coefficient differences related to these functions
  • Determined sharp bounds for initial coefficients
  • Establishes relationships involving the Fekete-Szegö functional
  • Outlined specific orders for the Toeplitz determinant related to inverses of the functions in the studied class

Abstract

In this paper, we investigate a class of q-convex functions that generalizes the classical convex functions by incorporating q-calculus and subordination to the q-exponential 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 inverse of function in the class mentioned.

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Cite This Study

K. Krishna Kumar (2026) studied this question.

synapsesocial.com/papers/699e927bf5123be5ed0503cfhttps://doi.org/10.1007/s44426-026-00035-1
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