一类双一元函数的第二Hankel行列式问题

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Mathematical and Fundamental Sciences Pub Date : 2019-08-06 DOI:10.5614/J.MATH.FUND.SCI.2019.51.2.8

M. H. Khani, A. Zireh, E. A. Adegani

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引用次数: 2

摘要

汉克尔矩阵涉及广泛的不同行列式计算和算法，并赋予它们一些非常吸引人的计算性质。此外，汉克尔行列式是研究奇异性和积分系数幂级数的关键因素。指定Fekete-Szego泛函和第二Hankel行列式分别等价于h1(2)和h2(2)。本文给出了双单价函数子类的第二Hankel行列式的上界。值得注意的是，本文给出的边界推广并修正了以前的一些结果。

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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The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions

Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them. Also, the Hankel determinants are crucial factors in the research of singularities and power series with integral coefficients. It is specified that the Fekete-Szego functional and the second Hankel determinant are equivalent to H 1 (2) and H 2 (2), respectively. In this study, the upper bounds were obtained for the second Hankel determinant of the subclass of bi-univalent functions, which is defined by subordination. It is worth noticing that the bounds rendered in the present paper generalize and modify some previous results.

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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.