Work

Exact bounds to the Toeplitz determinants of certain order, Zalcman conjecture and Krushkals inequalities for the functions associated with the lemniscate of Bernoulli

Year: 2025

Type: article

Abstract: The main object of this article is to investigate sharp bounds of the Toeplitz determinants of certain order, Zalcman conjecture and Krushkals inequalities for normalized analytic functions in the open unit disk D , associated with the familiar subfamily of starlike functions associated with the right half of lemniscate of Bernoulli. The practical tools applied in the derivation of our main results are the coefficient inequalities of the Carathéodory class P .

Source: Bulletin des Sciences Mathématiques

DOI: 10.1016/j.bulsci.2025.103585

Authors: Winne Bareh, D. Vamshee Krishna, Biswajit Rath

Institutions: North Eastern Hill University, GITAM University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,690

OpenAlex ID: W4407513322

FWCI:

Cites: 56

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Related to: 10