Bi-univalent functions of order ζ connected with ( m , n ) -Lucas polynomials

IF 2 Q1 MATHEMATICS
S. H. Hadi, M. Darus, Teodor Bulboac˘a
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引用次数: 2

Abstract

With the aid of the q -binomial coefficients and utilizing the convolution, we define a new q -convolution operator that helps us introduce two new families of bi-univalent functions. These classes are connected by subordination with a function G m , n . We give upper bounds for the coefficients estimate | a j | ( j = 2,3 ) of the functions that belong to these families, followed by some special cases. Moreover, we found estimates for the Fekete-Szeg¨o inequality for both of these families, followed by simple particular results. We emphasize that the defined convolution q -difference operator generalizes some other operators given by several authors. As an application of this study, Fekete-Szeg¨o inequalities for these classes of functions defined by Pascal distribution are investigated.
与(m,n)-Lucas多项式相连的ζ阶双单价函数
借助于q-二项式系数并利用卷积,我们定义了一个新的q-卷积算子,它有助于我们引入两个新的双单价函数族。这些类通过隶属关系与函数Gm,n相连。我们给出了属于这些族的函数的系数估计|aj|(j=2,3)的上界,然后给出了一些特殊情况。此外,我们发现了这两个家族的Fekete-Szeg–o不等式的估计值,然后是简单的特定结果。我们强调,定义的卷积q-差分算子推广了一些作者给出的其他算子。作为本研究的一个应用,研究了由Pascal分布定义的这类函数的Fekete-Szeg¨o不等式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
3.10
自引率
4.00%
发文量
77
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