Coefficients problems for families of holomorphic functions related to hyperbola

We consider a family of analytic and normalized functions that are related to the domains ℍ( ), with a right branch of a hyperbolas ) as a boundary. The hyperbola ) is given by the relation We mainly study a coefficient problem of the families of functions for which ′/ or 1 + ″/ ′ map the unit disk...

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Bibliographic Details
Published inMathematica Slovaca Vol. 70; no. 3; pp. 605 - 616
Main Authors Kanas, Stanisława, Masih, Vali Soltani, Ebadian, Ali
Format Journal Article
LanguageEnglish
Czech
French
German
Russian
Published Heidelberg De Gruyter 25.06.2020
Walter de Gruyter GmbH
Subjects
30C80
Analytic functions
Arrays
Coefficients
conic sections
domain related to hyperbola
Hyperbolas
Mathematical analysis
Primary30C45
starlike and convex functions
subordination
univalent functions
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Summary:We consider a family of analytic and normalized functions that are related to the domains ℍ( ), with a right branch of a hyperbolas ) as a boundary. The hyperbola ) is given by the relation We mainly study a coefficient problem of the families of functions for which ′/ or 1 + ″/ ′ map the unit disk onto a subset of ℍ( ) . We find coefficients bounds, solve Fekete-Szegö problem and estimate the Hankel determinant.
ISSN:0139-9918
1337-2211
DOI:10.1515/ms-2017-0375