Toeplitz Matrices Whose Elements Are the Coefficients of Functions with Bounded Boundary Rotation. (6th September 2016)

• Record Type: Journal Article
• Authors: Radhika, V.; Sivasubramanian, S.; Murugusundaramoorthy, G.; Jahangiri, Jay M.
• Other Names: Xu Yan Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2016(2016)
• Publication Date: 2016-09-06
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2016/4960704
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : LetR denote the family of functionsf ( z ) = z + ∑ n = 2 ∞ a n z n of bounded boundary rotation so thatR e f ′ ( z ) > 0 in the open unit diskU = { z : z < 1 } . We obtain sharp bounds for Toeplitz determinants whose elements are the coefficients of functionsf ∈ R .