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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 44 Issue: 3

On the univalence of an integral operator

Dorina Raducanu(Transilvania University of Brasov)
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Publication Date
2015-06-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our results include a number of known or new univalence criteria.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper the method of Loewner chains is used to derive a fairly general and flexible univalence criterion for an integral operator.
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Key Findings & Data:Two examples involving Bessel and hypergeometric functions are given.
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Conclusion & Impact:Our results include a number of known or new univalence criteria.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic functions · integral operator · Loewner chain

Abstract

In this paper the method of Loewner chains is used to derive a fairly general and flexible univalence criterion for an integral operator. Two examples involving Bessel and hypergeometric functions are given. Our results include a number of known or new univalence criteria.

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Cite This Article

Raducanu, D. (2015). On the univalence of an integral operator. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 3. https://ajindex.com/articles/1403285

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