On Booth lemniscate and starlike functions

DOI10.1007/s13324-017-0187-3zbMath1415.30011arXiv1701.07779OpenAlexW2583959873MaRDI QIDQ1999812

Rahim Kargar, Ali Ebadian, Janusz Sokół

Publication date: 27 June 2019

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

Full work available at URL: https://arxiv.org/abs/1701.07779

zbMATH Keywords

subordinationstarlikeFekete-Szegö inequalityBooth lemniscatecoefficients estimate

Mathematics Subject Classification ID

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

Related Items (35)

Some applications of differential subordination for certain starlike functions ⋮ On analytic multivalent functions associated with lemniscate of Bernoulli ⋮ On a class of analytic functions associated to a complex domain concerning \(q\)-differential-difference operator ⋮ Coefficient Inequalities for certain Starlike and Convex functions ⋮ Starlike Functions associated with a Petal Shaped Domain ⋮ Coefficient and Fekete-Szegö problem estimates for certain subclass of analytic and bi-univalent functions ⋮ Coefficient functionals and radius problems of certain starlike functions ⋮ On certain generalizations of \(\mathcal{S}^\ast(\psi )\) ⋮ Starlikeness associated with tangent hyperbolic function ⋮ Hankel determinant of order three for familiar subsets of analytic functions related with sine function ⋮ Theory of certain non-univalent analytic functions ⋮ New Subclass of Close-to-convex Functions Associated with the Vertical Strip Domains ⋮ Geometric inequalities via a symmetric differential operator defined by quantum calculus in the open unit disk ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ Bohr radius for certain classes of starlike and convex univalent functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Starlike and convex functions associated with a nephroid domain ⋮ Differential subordination and radius estimates for starlike functions associated with the Booth lemniscate ⋮ Some properties of analytic functions related with booth lemniscate ⋮ Radius problems for starlike functions associated with the $tan$ hyperbolic function ⋮ Starlike functions associated with the generalized Koebe function ⋮ Successive coefficients of functions in classes defined by subordination ⋮ Further results for a subclass of univalent functions related with differential inequality ⋮ Starlike functions associated with cosine functions ⋮ A new subclass of analytic functions ⋮ Unnamed Item ⋮ Radius problems for functions associated with a nephroid domain ⋮ Logarithmic coefficients for classes related to convex functions ⋮ Starlikeness and convexity of Cauchy transform on equilateral triangle ⋮ Sufficient conditions for \(p\)-valent functions ⋮ Starlike functions related to the Bell numbers ⋮ Inclusion relations and radius problems for a subclass of starlike functions ⋮ The Booth lemniscate starlikeness radius for Janowski starlike functions ⋮ Starlike functions associated with an epicycloid

Cites Work

• On subordination of some analytic functions
• The Fekete-Szegö coefficient functional for transforms of analytic functions
• Radius problems for some subclasses of analytic functions
• Hadamard product of analytic functions and some special regions and curves
• A Coefficient Inequality for Certain Classes of Analytic Functions
• On the Coefficients of Subordinate Functions

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