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

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

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引用次数: 1

摘要

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。

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

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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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

期刊介绍： Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.