与$k-$积分算子相关的解析函数某些子类的一些性质

Eman S. A. Abujarad, Mohammed H. A. AbuJarad, T. Abdeljawad, F. Jarad
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引用次数: 1

摘要

本文介绍了开放单元圆盘U = fz2c: jzj < 1g上解析函数的k积分算子。文中还介绍了几个新的解析函数子类,这些解析函数满足这些算子所涉及的某些关系。进一步,我们建立了这些子类的包含关系。其次,得到了这些新引入子类所满足的k-积分算子的保积分性质。讨论了结果的一些应用。最后还作了结束语。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some Properties for Certain Subclasses of Analytic Functions Associated with $k-$Integral Operators
In this paper, the k-integral operators for analytic functions dened in the open unit disc U = fz 2 C : jzj < 1g are introduced. Several new subclasses of analytic functions satisfying certain relations involving these operators are also introduced. Further, we establish the inclusion relation for these subclasses. Next, the integral preserving properties of a k-integral operator satised by these newly introduced subclasses are obtained. Some applications of the results are discussed. Concluding remarks are also given.
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