A Refinement of the Coefficient Inequalities for a Subclass of Starlike Mappings in Several Complex Variables

Xu, Qinghua

doi:10.1007/s00025-019-1080-1

Cited by 9 publications

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Now, we present the main theorem, in this section of the paper. It is a Fekete-Szegö type result for locally biholomorphic mappings in ℂ n , compare [30].…”

Section: Applicationsmentioning

confidence: 93%

Some results of Fekete–Szegö type for Bavrin’s families of holomorphic functions in $${\mathbb {C}}^{n}$$

Długosz

Liczberski

2021

Annali di Matematica

View full text Add to dashboard Cite

In the paper there is considered a generalization of the well-known Fekete–Szegö type problem onto some Bavrin’s families of complex valued holomorphic functions of several variables. The definitions of Bavrin’s families correspond to geometric properties of univalent functions of a complex variable, like as starlikeness and convexity. First of all, there are investigated such Bavrin’s families which elements satisfy also a (j, k)-symmetry condition. As application of these results there is given the solution of a Fekete–Szegö type problem for a family of normalized biholomorphic starlike mappings in $${\mathbb {C}}^{n}.$$ C n .

show abstract

“…Now, we present the main theorem, in this section of the paper. It is a Fekete-Szegö type result for locally biholomorphic mappings in ℂ n , compare [30].…”

Section: Applicationsmentioning

confidence: 93%

Some results of Fekete–Szegö type for Bavrin’s families of holomorphic functions in $${\mathbb {C}}^{n}$$

Długosz

Liczberski

2021

Annali di Matematica

View full text Add to dashboard Cite

show abstract

The Fekete-Szegö Inequality and Successive Coefficients Difference for a Subclass of Close-to-Starlike Mappings in Complex Banach Spaces

Fang

Feng

et al. 2023

Acta Math Sci

View full text Add to dashboard Cite

Fekete–Szegö problem for Bavrin’s functions and close-to-starlike mappings in $${\mathbb {C}}^{n}$$

Długosz

Liczberski

2022

Anal.Math.Phys.

View full text Add to dashboard Cite

The paper is devoted to the study of a family of complex-valued holomorphic functions and a family of holomorphic mappings in $${\mathbb {C}}^{n}.$$ C n . More precisely, the article concerns a Bavrin’s family of functions defined on a bounded complete n-circular domain $${\mathcal {G}}$$ G of $${\mathbb {C}}^{n}$$ C n and a family of biholomorphic mappings on the Euclidean open unit ball in $${\mathbb {C}}^{n}.$$ C n . The presented results include some estimates of a combination of the Fréchet differentials at the point $$z=0,$$ z = 0 , of the first and second order for Bavrin’s functions, also of the second and third order for biholomorphic close-to-starlike mappings in $${\mathbb {C}}^{n},$$ C n , respectively. These bounds give a generalization of the Fekete–Szegö coefficients problem for holomorphic functions of a complex variable on the case of holomorphic functions and mappings of several variables.

show abstract

A Refinement of the Coefficient Inequalities for a Subclass of Starlike Mappings in Several Complex Variables

Cited by 9 publications

References 20 publications

Some results of Fekete–Szegö type for Bavrin’s families of holomorphic functions in $${\mathbb {C}}^{n}$$

Some results of Fekete–Szegö type for Bavrin’s families of holomorphic functions in $${\mathbb {C}}^{n}$$

The Fekete-Szegö Inequality and Successive Coefficients Difference for a Subclass of Close-to-Starlike Mappings in Complex Banach Spaces

Fekete–Szegö problem for Bavrin’s functions and close-to-starlike mappings in $${\mathbb {C}}^{n}$$

Contact Info

Product

Resources

About