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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Further property preserviug integrals are considered.
📌 3 Key Takeaways
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Objective & Hypothesis:Let Q (a) be the class of functions of the form f (z) = 1 + a.k z k (a -! 0) z *=o which are regular in the punctured disc U* = {z : 0 < |z| < 1} and satisfy- ing and n € No — {0,1,2,...}, where D n f (z) = + Y 'fc n a fc_2 zfc- 2 . z fc=2 It is proved that Qn+ı (a) C Qn (a).
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Key Findings & Data:Since Qo (a) is the class of meromor- plıically convex functions of order a(0 < a < 1) the members of Qn (a) are nıeromorfically convex .
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Conclusion & Impact:Further property preserviug integrals are considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:meromorphic · functions · convex
Abstract
Let Q (a) be the class of functions of the form f (z) = 1 + a.k z k (a -! 0) z *=o which are regular in the punctured disc U* = {z : 0 < |z| < 1} and satisfy- ing and n € No — {0,1,2,...}, where D n f (z) = + Y 'fc n a fc_2 zfc- 2 . z fc=2 It is proved that Qn+ı (a) C Qn (a). Since Qo (a) is the class of meromor- plıically convex functions of order a(0 < a < 1) the members of Qn (a) are nıeromorfically convex . Further property preserviug integrals are considered.
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Cite This Article
AOUF, M. K. (2005). New criteria for meromorphic convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 54 - Sayı: 01, 1–1. https://ajindex.com/articles/747537