Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant

DOI10.1007/s13226-015-0111-1zbMath1333.30030OpenAlexW2006856566MaRDI QIDQ5963335

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Publication date: 7 March 2016

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-015-0111-1

zbMATH Keywords

convex functionsToeplitz determinantsHankel determinantscoefficient estimatesstar-like functions

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 (7)

Second Hankel determinant with Fekete-Szegö parameter for some subclasses of bi-univalent functions using a symmetric \(q\)-derivative operator ⋮ Unnamed Item ⋮ Sharp bounds of Hankel determinant for the inverse functions on a subclass of bounded turning functions ⋮ Sharp bounds on the Hankel determinant of the inverse functions for certain analytic functions ⋮ Coefficient bounds for certain analytic functions ⋮ ZALCMAN CONJECTURE AND HANKEL DETERMINANT OF ORDER THREE FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVES ⋮ Coefficient estimates of certain subclasses of analytic functions associated with Hohlov operator

Cites Work

• Hankel determinant for starlike and convex functions of order alpha
• Bounds of Hankel determinant for a class of univalent functions
• Second Hankel determinant for a class of analytic functions defined by fractional derivative
• Coefficients of the inverse of strongly starlike functions
• Upper bound of second Hankel determinant for a new class of analytic functions
• The Hankel Determinant of Exponential Polynomials
• Functions Whose Derivative has a Positive Real Part
• Univalent and Starlike Generalized Hypergeometric Functions
• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficient Bounds for the Inverse of a Function with Derivative in P
• On the Second Hankel Determinant of Areally Mean p-Valent Functions
• The second Hankel determinant for a class of analytic functions associated with the Carlson-Shaffer operator
• On the Coefficients and Hankel Determinants of Univalent Functions
• On the Second Hankel Determinant of Mean Univalent Functions
• On the Hankel determinants of univalent functions
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