霍拉达姆多项式和一类由 Ruscheweyh 算子定义的双等价函数

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2023-12-29 DOI:10.1155/2023/2573044

Waleed Al-Rawashdeh

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引用次数: 0

摘要

在本文中，我们介绍并研究了一类双等价函数，用 Hn,r,α 表示，它依赖于 Ruscheweyh 算子，并通过霍拉达姆多项式定义。对于该类函数，我们得出了初始泰勒-麦克劳林系数 a2 和 a3 的估计值。此外，我们还得到了属于这一类函数的经典费克特-塞戈不等式。

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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Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients a2 and a3. Moreover, we obtain the classical Fekete–Szegö inequality of functions belonging to this class.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.