Sharp bounds of the Hermitian Toeplitz determinants for certain close-to-star functions

DOI10.1007/s41980-022-00687-yOpenAlexW4213072858MaRDI QIDQ2682703

Barbara Śmiarowska, Adam Lecko

Publication date: 1 February 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-022-00687-y

zbMATH Keywords

star-like functionsclose-to-convex functionHermitian Toeplitz determinant

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items

Coefficient problems for certain close-to-convex functions

Cites Work

• Generalized Zalcman conjecture for some classes of analytic functions
• On close-to-convex univalent functions
• Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions
• The bounds of some determinants for starlike functions of order alpha
• The third-order Hermitian Toeplitz determinant for classes of functions convex in one direction
• The second and third-order Hermitian Toeplitz determinants for starlike and convex functions of order \(\alpha\)
• The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2
• The bound of the Hankel determinant of the third kind for starlike functions
• Bounds for the second Hankel determinant of certain univalent functions
• Radii of starlikeness of certain classes of analytic functions
• Close-to-convex schlicht functions
• TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS
• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
• The bounds of some determinants for functions of bounded turning of order alpha
• SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS
• Sharp inequalities for Hermitian Toeplitz determinants for strongly starlike and strongly convex functions
• Some coefficient inequalities related to the Hankel determinant for strongly starlike functions of order alpha
• The radius of univalence of certain analytic functions
• Analytic Functions Star-Like in One Direction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item