A coefficient inequality for a subclass of the Carathéodory functions defined using conical domains

DOI10.1016/j.camwa.2011.03.052zbMath1221.30039OpenAlexW2041863544MaRDI QIDQ639108

Akshaya Kumar Mishra, Priyabrat Gochhayat

Publication date: 18 September 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.052

zbMATH Keywords

univalent functionCarathéodory function\(k\)-uniformly convex functionJacobi elliptic integral

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (8)

Certain analytic functions defined by generalized Mittag-Leffler function associated with conic domain ⋮ Unnamed Item ⋮ Analytic functions related with the hyperbola ⋮ On a class of analytic functions related to conic domains involving {\(q\)}-calculus ⋮ Bounds on Hankel determinant for starlike and convex functions with respect to symmetric points ⋮ Coefficient estimates of certain subclasses of analytic functions associated with Hohlov operator ⋮ A COEFFICIENT INEQUALITY OF m-TH ROOT TRANSFORMATION ASSOCIATED WITH BAZILEVIČ FUNCTIONS ⋮ Unnamed Item

Cites Work

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• The Fekete-Szegő problem fork-uniformly convex functions and for a class defined by the Owa-Srivastava operator
• The Fekete-Szegő problem for subclasses of analytic functions defined by a differential operator related to conic domains
• Fekete-Szegö problem for a class defined by an integral operator
• Conic regions and \(k\)-uniform convexity
• Applications of fractional calculus to parabolic starlike and uniformly convex functions
• Successive Coefficients of Univalent Functions
• Uniformly convex functions II
• A Coefficient Inequality for Certain Classes of Analytic Functions
• On uniformly convex functions

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