Toeplitz determinant for a subclass of analytic functions involving Touchard polynomials

Tejas Nagamangala  Sathyananda; Nanjundan Magesh; Dasanur Shivanna  Raju

doi:10.5269/bspm.75920

Tejas Nagamangala Sathyananda
Nanjundan Magesh Department of Mathematics, Government Arts College (Men), Krishnagiri - 635001, Tamilnadu, India http://orcid.org/0000-0002-0764-8390
Dasanur Shivanna Raju

Résumé

In this paper, we introduce a new subclass of univalent functions that generalizes existing subclasses of univalent functions. By employing subordination principles, we derive initial Taylor–Maclaurin coefficient estimates for functions in this subclass. Additionally, we establish bounds for the Fekete-Szeg\"{o} functional and Toeplitz determinants. To further strengthen the applicability of our findings, we incorporate Touchard polynomials, demonstrating their role in Geometric Function Theory (GFT). Our results unify and generalize several known subclasses, offering potential applications of Touchard polynomials in the field of GFT.

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Biographie de l'auteur

Nanjundan Magesh, Department of Mathematics, Government Arts College (Men), Krishnagiri - 635001, Tamilnadu, India

Professor of Mathematics

Research Department of Mathematics

Government Arts College for Men

Krishnagiri - 635 001

Tamilnadu, India

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