Journals / Ege University Journal of The Faculty of Science / 1999 / Cilt: 22 - Sayı: 1

$Theta$-Teta fonksiyonlarının oranların içeren bir diferansiyel denklemin teşkili

The formation of a differential equation involving the ratio of the $Theta$-Theta functions

Pages
87–93
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

In this work, a non-linear differential equation which contains the squares of the theta functions and also satisfies w(z)=$frac{theta_2(z)} {theta_1(z)}$ is established by using known properties of the theta functions $theta_1,theta_2,theta_3$ and $theta_4$.

📌 3 Key Takeaways

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Objective & Hypothesis:In this work, a non-linear differential equation which contains the squares of the theta functions and also satisfies w(z)=$frac{theta_2(z)} {theta_1(z)}$ is established by using known properties of the theta functions $theta_1,theta_2,theta_3$ and $theta_4$.
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Key Findings & Data:In this work, a non-linear differential equation which contains the squares of the theta functions and also satisfies w(z)=$frac{theta_2(z)} {theta_1(z)}$ is established by using known properties of the theta functions $theta_1,theta_2,theta_3$ and $theta_4$.
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Conclusion & Impact:In this work, a non-linear differential equation which contains the squares of the theta functions and also satisfies w(z)=$frac{theta_2(z)} {theta_1(z)}$ is established by using known properties of the theta functions $theta_1,theta_2,theta_3$ and $theta_4$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, a non-linear differential equation which contains the squares of the theta functions and also satisfies w(z)=$frac{theta_2(z)} {theta_1(z)}$ is established by using known properties of the theta functions $theta_1,theta_2,theta_3$ and $theta_4$.

Özet

Buçalışmada,61,62,63 ve 64 tetafonksiyonlarınınbilinenözelliklerikullanılarak w(z)=$frac{theta_2(z)} {theta_1(z)}$ fonksiyonunun sağladığı, lineer olmayan ve teta fonksiyonlarının karelerini ihtiva eden bir diferansiyel denklem kurulmuştur.

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Cite This Article

KÜLTÜR, M. N., OCAK, R. (2022). $Theta$-Teta fonksiyonlarının oranların içeren bir diferansiyel denklemin teşkili. Ege University Journal of The Faculty of Science, Cilt: 22 - Sayı: 1, 87–93. https://ajindex.com/articles/496215