Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials

The main purpose of this article is to make use of the Horadam polynomials hn x and the generating function Πx, z, in order to introduce three new subclasses of the bi-univalent function class σ. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete–S...

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Published inAbstract and applied analysis Vol. 2020; no. 2020; pp. 1 - 8
Main Authors Abirami, Chinnaswamy, Yamini, Jagadesan, Magesh, N.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Functions (mathematics)
Inequalities
Mathematical analysis
Polynomials
India
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Summary:The main purpose of this article is to make use of the Horadam polynomials hn x and the generating function Πx, z, in order to introduce three new subclasses of the bi-univalent function class σ. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete–Szegö inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1085-3375
1687-0409
DOI:10.1155/2020/7391058