Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions

Huo Tang (), Ihtesham Gul (), Saqib Hussain and Saima Noor
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Huo Tang: School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
Ihtesham Gul: Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
Saqib Hussain: Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan
Saima Noor: Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al Ahsa 31982, Saudi Arabia

Mathematics, 2023, vol. 11, issue 18, 1-15

Abstract: In this article, we use the q -derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q -Ruscheweyh operator. Sufficient conditions, sharp bounds for the initial coefficients, a Fekete–Szegö functional and a Toeplitz determinant are investigated for this new class of functions. Additionally, we also present several established consequences derived from our primary findings.

Keywords: analytic functions; q-derivative operator; q-Ruscheweyh operator; subordination; Hankel determinant; Toeplitz determinant (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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