伯努利多项式下虚误差函数相关的双单值函数的一个综合子类

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-07-31 DOI:10.1002/mma.70007

Sondekola Rudra Swamy, Kala Venugopal

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引用次数: 0

摘要

我们的研究是由特殊多项式的广泛有趣和富有成效的应用所激发的。其中，伯努利多项式近年来在双一元函数理论的研究中引起了人们的关注。在本文中，我们引入并分析了与虚误差函数相关的双一价函数的一个广泛子类，它由伯努利多项式控制。我们推导了这个子类中函数的初始系数界，并探讨了它们与Fekete-Szegö不等式相关的性质。此外，我们讨论了与先前研究的联系，同时强调了几个新的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Comprehensive Subclass of Bi-Univalent Functions Related to Imaginary Error Function Subordinate to Bernoulli Polynomials

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A Comprehensive Subclass of Bi-Univalent Functions Related to Imaginary Error Function Subordinate to Bernoulli Polynomials

Our investigation is motivated by the wide range of interesting and fruitful applications of special polynomials. Among these, Bernoulli polynomials have recently garnered attention in the study of bi-univalent function theory. In this article, we introduce and analyze a broad subclass of bi-univalent functions associated with the imaginary error function, governed by Bernoulli polynomials. We derive initial coefficient bounds for functions in this subclass and explore their properties in relation to the Fekete–Szegö inequality. Additionally, we discuss connections to previous research while highlighting several new results.

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.