COEFFICIENTS PROBLEMS FOR FAMILIES OF HOLOMORPHIC FUNCTIONS RELATED TO HYPERBOLA

被引：7

作者：

Kanas, Stanislawa ^{[1
]}

Masih, Vali Soltani ^{[2
]}

Ebadian, Ali ^{[3
]}

机构：

[1] Univ Rzeszow, Al Rejtana 16c, PL-35959 Rzeszow, Poland

[2] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

[3] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran

来源：

MATHEMATICA SLOVACA | 2020年 / 70卷 / 03期

关键词：

univalent functions; subordination; starlike and convex functions; domain related to hyperbola; conic sections; HANKEL DETERMINANTS;

D O I：

10.1515/ms-2017-0375

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a family of analytic and normalized functions that are related to the domains H(s), with a right branch of a hyperbolas H(s) as a boundary. The hyperbola H(s) is given by the relation 1/rho = (2 cos phi/s)(s) (0 < s <= 1, vertical bar phi vertical bar < (pi s)/2). We mainly study a coefficient problem of the families of functions for which zf'/f or 1 + zf ''/f' map the unit disk onto a subset of H(s). We find coefficients bounds, solve Fekete-Szego problem and estimate the Hankel determinant. (C) 2020 Mathematical Institute Slovak Academy of Sciences

引用

页码：605 / 616

页数：12

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