Abstract
In the present article, we introduce and study a new family \(\mathcal {F}_{\Sigma }(\delta ,\lambda ,m,n,r)\) of normalized analytic and bi-univalent functions associating \(\lambda \)-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 \(\mathcal {F}_{\Sigma }(\delta ,\lambda ,m,n,r)\) which we have introduced here. We also indicate several certain special cases and consequences for our results.
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Wanas, A.K. Horadam polynomials for a new family of \(\lambda \)-pseudo bi-univalent functions associated with Sakaguchi type functions. Afr. Mat. 32, 879–889 (2021). https://doi.org/10.1007/s13370-020-00867-1
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DOI: https://doi.org/10.1007/s13370-020-00867-1
Keywords
- Analytic functions
- Univalent functions
- Bi-univalent functions
- Horadam polynomials
- Upper bounds
- Fekete–Szegö problem
- Subordination between analytic functions