涉及(p,q)-微积分的对称点与心形域的一元函数

Pub Date : 2021-03-01 DOI:10.5666/KMJ.2021.61.1.75
O. Ahuja, N. Bohra, A. Çetinkaya, Sushil Kumar
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引用次数: 2

摘要

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