Geodesic
Applications of the (p,q)-derivative involving a certain family of analytic and te-univalent functions
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

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In this paper, we introduce a new subclass of analytic and te-univalent functions in the open unit disc associated with the operator $\Re _{\lambda ,p,q}^{\alpha ,\beta ,\gamma }$, which is defined by using the (p,q)-derivative. We find estimates for the first two Taylor-Maclaurin coefficients $|a_{2}|$ and $|a_{3}|$ for functions in this subclass, and we obtain an estimation for the Fekete-Szeg\H{o} problem for this function class. Our results generalize some previously published results.
Publié le :
DOI : 10.30755/NSJOM.13905
Classification : 30C45, 30C50, 05A30
Keywords: bi-univalent functions, te-univalent functions, Hadamard product, coefficient bounds 
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     title = {Applications of the (p,q)-derivative involving a certain family of
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Ahmed M. Abd-Eltawab. Applications of the (p,q)-derivative involving a certain family of
analytic and te-univalent functions. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.13905. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13905/

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