Some results of Fekete-Szegö type for Bavrin's families of holomorphic functions in \(\mathbb{C}^n\)

DOI10.1007/s10231-021-01094-6zbMath1470.32012OpenAlexW3143388666MaRDI QIDQ2035974

Renata Długosz, Piotr Liczberski

Publication date: 2 July 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-021-01094-6

zbMATH Keywords

star-like functions\(n\)-circular domains in \(\mathbb{C}^n\)Fekete-Szegő-type estimates

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of function theory of one complex variable (32A30)

Related Items (6)

Fekete-Szegö problem for Bavrin's functions and close-to-starlike mappings in \(\mathbb{C}^n\) ⋮ Fekete-Szegö problem for univalent mappings in one and higher dimensions ⋮ Coefficient problems of quasi-convex mappings of type B on the unit ball in complex Banach spaces ⋮ The refinement of Fekete and Szegö problems for close-to-convex functions and close-to-quasi-convex mappings ⋮ Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in \(\mathbb{C}^n\) ⋮ Fekete-Szegö problems for spirallike mappings and close-to-quasi-convex mappings on the unit ball of a complex Banach space

Cites Work

• Relations among starlikeness, convexity and \(k\)-fold symmetry of locally biholomorphic mappings in \(\mathbb{C}^n\)
• On a certain univalent mapping
• An application of hypergeometric functions to a construction in several complex variables
• A refinement of the coefficient inequalities for a subclass of starlike mappings in several complex variables
• Parabolic starlike mappings in several complex variables
• The principle of subordination applied to functions of several variables
• Starlike and convex mappings in several complex variables
• Embedding theorems for holomorphic functions of several complex variables
• ON THE SUBORDINATION OF HOLOMORPHIC MAPPINGS IN C n
• A uniqueness theorem of Cartan–Gutzmer type for holomorphic mappings in Cⁿ
• Embedding theorems and extremal problems for holomorphic functions on circular domains of ℂⁿ
• A Coefficient Inequality for Certain Classes of Analytic Functions
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