The second Hankel determinant for alpha-convex functions

DOI10.1007/s10986-018-9397-0zbMath1401.30010OpenAlexW2806185077MaRDI QIDQ1795410

Derek K. Thomas, Janusz Sokół

Publication date: 16 October 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-018-9397-0

zbMATH Keywords

Hankel determinantconvex functionunivalent functionsstarlike functionalpha-convex function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (11)

Hankel determinants for starlike and convex functions associated with sigmoid functions ⋮ Estimates for analytic functions connected with Hankel determinant ⋮ Hankel determinants of order four for a set of functions with bounded turning of order \(\alpha\) ⋮ Unnamed Item ⋮ The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions ⋮ THE THIRD HANKEL DETERMINANT FOR INVERSE COEFFICIENTS OF CONVEX FUNCTIONS ⋮ Some Results Concerned with Hankel Determinant ⋮ Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions ⋮ Unnamed Item ⋮ Bounds of Hankel determinants for analytic function ⋮ Hermitian Toeplitz determinants for the class S of univalent functions

Cites Work

• Hankel determinant for starlike and convex functions of order alpha
• An upper bound to the second Hankel determinant for functions in Mocanu class
• Second Hankel determinant for a class of analytic functions defined by fractional derivative
• Second Hankel determinants for the class of typically real functions
• Second Hankel determinant for close-to-convex functions
• The bounds of some determinants for starlike functions of order alpha
• Upper bound of second Hankel determinant for certain subclasses of analytic functions
• Bounds for the second Hankel determinant of certain univalent functions
• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficients for alpha-convex univalent functions
• On the Coefficients and Hankel Determinants of Univalent Functions
• On the Hankel determinants of univalent functions
• On the Hankel Determinants of Areally Mean p -Valent Functions
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