The famous Toeplitz matrix is a matrix in which each descending diagonals form left to right is constant, this mean T = ( a 0 a 1 ⋯ a n a − 1 a 0 ⋯ ⋯ ⋮ ⋮ ⋱ ⋮ ⋯ ⋯ a − 1 a 0 ) . Mathematician, engineers, and physicists are interested into this matrix for their computational properties and appearances in various areas: C *-dynamical systems [1], dynamical systems [6], operator algebra [2], Pseudospectrum and signal processing [10]. The object of this research is to define a new class Non-Bazilevi´c functions N δ in unit disk ↁ = {z ∈ ℂ: |z| < 1} related to exponential function. As well as, we obtained coefficient estimates and an upper bound for the second and third determinant of the Toeplitz matrix such that the entries these matrix are belong to this class.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.