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Some properties for meromorphic functions associated with integral operators

Some properties for meromorphic functions associated with integral operators

Abstract In the present paper we aim at proving some subordinations properties for meromorphic functions analytic in the punctured unit disc $$\Delta ^*=\{z:0&lt;|z|&lt;1\}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>Δ</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:mrow> <mml:mo>{</mml:mo> <mml:mi>z</mml:mi> <mml:mo>:</mml:mo> <mml:mn>0</mml:mn> <mml:mo>&lt;</mml:mo> <mml:mo>|</mml:mo> <mml:mi>z</mml:mi> <mml:mo>|</mml:mo> <mml:mo>&lt;</mml:mo> <mml:mn>1</mml:mn> <mml:mo>}</mml:mo> </mml:mrow> </mml:mrow> </mml:math> with a simple pole …