Generalized Zalcman conjecture for starlike and typically real functions

DOI10.1006/jmaa.1999.6378zbMath0936.30012OpenAlexW2058036837WikidataQ122942784 ScholiaQ122942784MaRDI QIDQ1295903

William Ma

Publication date: 15 May 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6378

Mathematics Subject Classification ID

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

Related Items (34)

On the generalized Zalcman functional $\lambda a_n^2-a_{2n-1}$ in the close-to-convex family ⋮ Unnamed Item ⋮ Second Hankel determinants for the class of typically real functions ⋮ Coefficient functionals for alpha-convex functions associated with the exponential function ⋮ Sharp estimates of generalized zalcman functional of early coeffcients for Ma-Minda type functions ⋮ Generalized Zalcman conjecture for convex functions of order \(\alpha\) ⋮ A generalization of Livingston's coefficient inequalities for functions with positive real part ⋮ Theory of certain non-univalent analytic functions ⋮ Zalcman and generalized Zalcman conjecture for a subclass of univalent functions ⋮ An evolutionary approach to the coefficient problems in the class of starlike functions ⋮ Coefficient inequalities for a subclass of analytic functions associated with exponential function ⋮ The Zalcman conjecture for certain analytic and univalent functions ⋮ Coefficient bound associated with certain Hankel determinants and Zalcman conjecture for a subfamily of multivalent bounded turning functions ⋮ TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Fekete-Szegö type functionals for functions which are convex in the direction of the imaginary axis ⋮ Sharp Fekete-Szegö coefficients functional, distortion and growth inequalities for certain $p$-valent close-to-convex functions ⋮ On coefficient functionals associated with the Zalcman conjecture ⋮ Extremal problems on the class of convex functions of order \(-1/2\) ⋮ Unnamed Item ⋮ ZALCMAN CONJECTURE AND HANKEL DETERMINANT OF ORDER THREE FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVES ⋮ The support points of several classes of analytic functions with fixed coefficients ⋮ Generalized Zalcman conjecture for some classes of analytic functions ⋮ Third Hankel determinants for subclasses of univalent functions ⋮ Constrained coefficients problem for generalized typically real functions ⋮ Constrained coefficients problem for generalized typically real functions ⋮ SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS ⋮ Sharp bounds of Fekete-Szegő functional for quasi-subordination class ⋮ Coefficient problems in the subclasses of close-to-star functions ⋮ Hankel, Toeplitz, and Hermitian-Toeplitz determinants for certain close-to-convex functions ⋮ On estimates of some coefficient functionals for certain meromorphic univalent functions ⋮ Third Hankel determinant for a subclass of close-to-star functions associated with exponential function

Cites Work

• Unnamed Item
• On the Zalcman conjecture for starlike and typically real functions
• The Zalcman Conjecture for Close-to-Convex Functions
• The Coefficients of Multivalent Close-to-Convex Functions
• Convex Hulls of Some Classical Families of Univalent Functions

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