Journals / Communications in Advanced Mathematical Sciences / 2019 / Cilt: 2 - Sayı: 4

The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice

Pages
303–308
Publication Date
2019-12-29
DOI
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AI Summary & Key Takeaways

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

The function $ \varphi(z) $ obtained here is shown to be a convex function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The function $ \xi(z)$ is obtained from the logarithmic derivative function $\sigma(z)$.
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Key Findings & Data:The elliptic function $ \wp(z) $ is also derived from the $ \xi(z) $ function.
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Conclusion & Impact:The function $ \varphi(z) $ obtained here is shown to be a convex function.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex function · Elliptic function · Latices

Abstract

The function $ \xi(z)$ is obtained from the logarithmic derivative function $\sigma(z)$. The elliptic function $ \wp(z) $ is also derived from the $ \xi(z) $ function. The function $ \wp(z) $ is a function of double periodic and meromorphic function on lattices region. The function $ \wp(z) $ is also double function. The function $ \varphi(z) $ meromorphic and univalent function was obtained by the serial expansion of the function $ \wp(z)$. The function $ \varphi(z) $ obtained here is shown to be a convex function.

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Cite This Article

SAHİN, H., YILDIZ, İ. (2019). The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice. Communications in Advanced Mathematical Sciences, Cilt: 2 - Sayı: 4, 303–308. https://ajindex.com/articles/748280

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References (3)

  1. M. Dutta, L. Debnath, Elements of the Elliptic and Associated Functions with Application, Calcutta, 1965
  2. A. W. Goodman, Univalent Functions, Florida, 1983
  3. P. L. Duren, Univalent Functions, Springer-Verlag, New York, 1983.