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Horadam polynomials for a new family of λ-pseudo bi-univalent functions associated with Sakaguchi type functions

In the present article, we introduce and study a new family F Σ ( δ , λ , m , n , r ) of normalized analytic and bi-univalent functions associating λ -pseudo functions with Sakaguchi type functions by using the Horadam polynomials. We obtain upper bounds for the initial Taylor–Maclaurin coefficients...

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Bibliographic Details
Published in:Afrika mathematica 2021-09, Vol.32 (5-6), p.879-889
Main Author: Wanas, Abbas Kareem
Format: Article
Language:English
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Summary:In the present article, we introduce and study a new family F Σ ( δ , λ , m , n , r ) of normalized analytic and bi-univalent functions associating λ -pseudo functions with Sakaguchi type functions by using the Horadam polynomials. We obtain upper bounds for the initial Taylor–Maclaurin coefficients | a 2 | and | a 3 | . Further we obtain the Fekete–Szegö inequality for functions in the family F Σ ( δ , λ , m , n , r ) which we have introduced here. We also indicate several certain special cases and consequences for our results.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-020-00867-1