Sharp results on the logarithmic coefficients for the classes $\mathcal{S}^{*}_S$ and $\mathcal{K}_S$

Authors

  • Molla Basir Ahamed Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India
  • Sanju Mandal Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

DOI:

https://doi.org/10.3842/umzh.v78i9-10.9601

Keywords:

Starlike function, Convex functions, Toeplitz determinant, Hankel determinant, Logarithmic coefficients, Inverse coefficients, Univalent functions, Moduli differences

Abstract

UDC 517.54

We determine the sharp upper and lower bounds for the moduli of  differences of the logarithmic coefficients, as well as for the logarithmic coefficients of inverse functions for the classes $\mathcal{S}^{*}_S$ and $\mathcal{K}_S$ respectively. In addition, we establish sharp estimates for the second-order Hankel and Toeplitz determinants involving logarithmic coefficients for these classes. Furthermore, we illustrate the sharpness of these results by the extremal functions.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 9-10, 2026.

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Published

19.09.2026

Issue

Vol. 78 No. 9-10 (2026)

Section

Research articles