Some properties for meromorphic functions associated with integral operators

Journal of the Egyptian Mathematical Society Pub Date : 2023-10-31 DOI:10.1186/s42787-023-00163-4

W. Y. Kota, R. M. El-Ashwah

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Abstract

Abstract In the present paper we aim at proving some subordinations properties for meromorphic functions analytic in the punctured unit disc $$\Delta ^*=\{z:0<|z|<1\}$$ Δ ∗ = { z : 0 < | z | < 1 } with a simple pole at the origin. The functions under investigation are associated with two integral operators $$\mathcal {P}_\sigma ^\gamma$$ P σ γ and $$\mathcal {Q}_\sigma ^\gamma$$ Q σ γ (see Lashin in Comput Math Appl 59:524–531, 2010, https://doi.org/10.1016/j.camwa.2009.06.015 ). Several other results and numerical examples are also obtained.

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与积分算子相关的亚纯函数的一些性质

摘要本文旨在证明穿孔单位盘上解析亚纯函数的一些从属性质$$\Delta ^*=\{z:0<|z|<1\}$$ Δ∗= {z: 0 ＆lt;| z | ＆lt;1}在原点有一个简单的极点。所研究的函数与两个积分算子$$\mathcal {P}_\sigma ^\gamma$$ P σ γ和$$\mathcal {Q}_\sigma ^\gamma$$ Q σ γ相关联(参见Lashin在计算数学应用59:524-531,2010,https://doi.org/10.1016/j.camwa.2009.06.015)。还得到了其他一些结果和数值算例。

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Journal of the Egyptian Mathematical Society

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9 weeks