ZALCMAN CONJECTURE AND HANKEL DETERMINANT OF ORDER THREE FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVES

DOI10.15393/j3.art.2020.6950zbMath1454.30004OpenAlexW3036475829WikidataQ123134006 ScholiaQ123134006MaRDI QIDQ5151408

Rayaprolu Bharavi Sharma, V. Suman Kumar

Publication date: 17 February 2021

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa300

zbMATH Keywords

subordinationanalytic functionHankel determinantstar-like functionZalcman conjecturefunction with positive real partshell-like curve

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Zalcman conjecture for some classes of analytic functions
• Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers
• The Fekete-Szegö coefficient functional for transforms of analytic functions
• Generalized Zalcman conjecture for starlike and typically real functions
• An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function
• On a class of \(\alpha\)-convex functions subordinate to a shell shaped region
• On coefficient estimates for a certain class of starlike functions
• Proof of the Zalcman conjecture for initial coefficients
• The fekete-szegö-problem for a subclass of close-to-convex functions
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• A Coefficient Inequality for Certain Classes of Analytic Functions
• On a subclass of strongly starlike functions
• Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant

This page was built for publication: ZALCMAN CONJECTURE AND HANKEL DETERMINANT OF ORDER THREE FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVES