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Investigation of Toeplitz Determinants in Ma-Minda Classes of Starlike and Convex Functions using q-Calculus

Pradeep Kumar|Amit Soni
경북대학교 자연과학대학 수학과|2024.12|Kyungpook Mathematical Journal|제64권 제4호|pp. 591-606|DOI 10.5666/KMJ.2024.64.4.591

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키워드

Univalent functionsSubordinationToeplitz determinantsFekete Szego inequalityq-Calculus
주제분류수학

초록

This research paper focuses on obtaining sharp bounds for Toeplitz determi nants whose entries are the coefficients of starlike functions satisfying specific conditions. The conditions are related to the quantity zDqf(z)/f(z), which is required to lie in a specific subset of the right half-plane. The study presents new special cases and known results in this context. The research approach involves using Toeplitz determinants and their prop erties, and the results are obtained through a combination of mathematical techniques, including q-calculus.

Abstract

This research paper focuses on obtaining sharp bounds for Toeplitz determi nants whose entries are the coefficients of starlike functions satisfying specific conditions. The conditions are related to the quantity zDqf(z)/f(z), which is required to lie in a specific subset of the right half-plane. The study presents new special cases and known results in this context. The research approach involves using Toeplitz determinants and their prop erties, and the results are obtained through a combination of mathematical techniques, including q-calculus.

참고문헌 (36)

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