Univalent Functions Associated with the Symmetric Points and Cardioid-shaped Domain Involving (p,q)-calculus

IF 0.6 Q3 MATHEMATICS Kyungpook Mathematical Journal Pub Date : 2021-03-01 DOI:10.5666/KMJ.2021.61.1.75

O. Ahuja, N. Bohra, A. Çetinkaya, Sushil Kumar

引用次数: 2

Abstract

In this paper, we introduce new classes of post-quantum or (p, q)-starlike and convex functions with respect to symmetric points associated with a cardiod-shaped domain. We obtain (p, q)-Fekete-Szegö inequalities for functions in these classes. We also obtain estimates of initial (p, q)-logarithmic coefficients. In addition, we get q-Bieberbachde-Branges type inequalities for the special case of our classes when p = 1. Moreover, we also discuss some special cases of the obtained results.

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涉及(p,q)-微积分的对称点与心形域的一元函数

在本文中，我们引入了关于与心形域相关的对称点的后量子或（p，q）星形和凸函数的新类别。我们得到了这些类中函数的（p，q）-Fekete-Szegö不等式。我们还得到了初始（p，q）-对数系数的估计。此外，当p=1时，我们得到了类的特殊情况下的q-Bieberbachd-Ranges型不等式。此外，我们还讨论了所得结果的一些特殊情况。

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

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.