一类由(M,N)-Lucas多项式定义的全纯双一元函数族的系数界和fekete - seeggel不等式

Pub Date : 2023-01-01 DOI:10.2298/fil2304037w

A. Wanas, G. Sâlâgean, Ágnes Orsolya

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引用次数: 0

摘要

本文利用(M,N)-Lucas多项式引入了一种新的全纯双单价函数族，它涉及到在单位圆盘D上定义的Bazilevic函数与?-伪星形函数的线性组合，并建立了属于该族函数的第二和第三系数的上界。此外，我们还讨论了feket - szeg ?这个新家庭的问题。

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Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials

In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve a linear combination between Bazilevic functions and ?-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szeg? problem in this new family.

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