Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Mathematical and Fundamental Sciences Pub Date : 2021-05-20 DOI:10.5614/J.MATH.FUND.SCI.2021.53.1.4

T. Panigrahi, S. K. Mohapatra

引用次数: 1

Abstract

In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.

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与Chebyshev多项式相关的Salagean微分算子的(P, Q)模拟定义的双一价函数的系数估计

在本研究中，我们使用Jackson (p,q)-微分算子引入扩展的Salagean算子，用Rkp,q表示。介绍了基于算子Rkp,q的与切比雪夫多项式相关的双一元函数类。首先，建立了函数类的两个系数界和Fekete-Szego不等式。根据所涉及的不同参数，可以得出许多推论。

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

Journal of Mathematical and Fundamental Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 weeks

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