TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS
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Publication:4607011
DOI10.1017/S0004972717001174zbMath1390.30018arXiv1704.00657MaRDI QIDQ4607011
Md Firoz Ali, Allu Vasudevarao, Derek K. Thomas
Publication date: 12 March 2018
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.00657
analytic functionconvex functionunivalent functionToeplitz determinantstar-like functiontypically real functionclose-toconvex function
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Fourth Toeplitz determinants for starlike functions defined by using the sine function ⋮ Hankel and Toeplitz determinant for a subclass of multivalent \(q\)-starlike functions of order \(\alpha\) ⋮ Coefficient Inequalities for certain Starlike and Convex functions ⋮ Hermitian-Toeplitz determinants for functions with bounded turning ⋮ 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 \(\alpha\) ⋮ Sharp bounds on Hermitian Toeplitz determinants for Sakaguchi classes ⋮ The third-order Hermitian Toeplitz determinant for some classes of analytic functions ⋮ Sharp bounds on the fourth-order Hermitian Toeplitz determinant for starlike functions of order 1/2 ⋮ Toeplitz determinants for a class of holomorphic mappings in higher dimensions ⋮ Sharp bounds of the Hermitian Toeplitz determinants for certain close-to-star functions ⋮ Hankel and Toeplitz determinants for a subclass of analytic functions ⋮ Estimation of coefficient bounds for a subclass of Sakaguchi kind functions mapped onto various domains ⋮ Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions. ⋮ The fourth-order Hermitian Toeplitz determinant for convex functions ⋮ The Second- and Third-Order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function ⋮ Hermitian-Toeplitz determinants for certain univalent functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions ⋮ Sharp bounds of the Hermitian Toeplitz determinants for some classes of close-to-convex functions ⋮ Some properties of certain close-to-convex harmonic mappings ⋮ Hankel, Toeplitz, and Hermitian-Toeplitz determinants for certain close-to-convex functions ⋮ Sharp inequalities for Hermitian Toeplitz determinants for strongly starlike and strongly convex functions ⋮ Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions ⋮ Hermitian–Toeplitz and Hankel determinants for certain starlike functions
Cites Work
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- Every matrix is a product of Toeplitz matrices
- A generalization of Livingston's coefficient inequalities for functions with positive real part
- Generalized Zalcman conjecture for starlike and typically real functions
- Toeplitz matrices whose elements are the coefficients of starlike and close-to-convex functions
- Toeplitz matrices whose elements are the coefficients of functions with bounded boundary rotation
- Harmonic maps and ideal fluid flows
- A harmonic maps approach to fluid flows
- A Coefficient Inequality for Certain Classes of Analytic Functions
- On the coefficients of a typically-real function
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