涉及乘法器变换的多价调和函数

IF 0.7 Q2 MATHEMATICS
V. Gupta, S. Porwal, Omendra Mishra
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引用次数: 0

摘要

本文研究了包含乘子变换的多价调和函数的一个子类。得到了该类的一个等价卷积类条件和充分系数条件。我们还证明了这个系数条件对于属于它的子类的函数是必要的。作为系数条件的应用,给出了一个充分必要的超几何不等式。进一步得到了关于边界、包含关系、极值点、卷积性质和基于积分算子的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multivalent harmonic functions Involving multiplier transformation
In the present investigation we study a subclass of multivalent harmonic functions involving multiplier transformation. An equivalent convolution class condition and a sufficient coefficient condition for this class is acquired. We also show that this coefficient condition is necessary for functions belonging to its subclass. As an application of coefficient condition, a necessary and sufficient hypergeometric inequality is also given. Further, results on bounds, inclusion relation, extreme points, a convolution property and a result based on the integral operator are obtained.
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