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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Volume: 71 Issue: 4

An overview to analyticity of dual functions

Olgun Durmaz(ATATURK UNIVERSITY)0000-0002-0913-3307
Buşra Aktaş(KIRIKKALE UNIVERSITY)0000-0002-1285-7250
Osman Keçilioğlu(KIRIKKALE UNIVERSITY)0000-0002-5149-5221
Sayfa
—
Yayın Tarihi
2022-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the equivalent of the inverse function theorem in dual space is given by a theorem and proved.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, the analyticity conditions of dual functions are clearly examined and the properties of the concept derivative are given in detail.
📊
Temel Bulgular & Veri:Then, using the dual order relation, the dual analytic regions of dual analytic functions are constructed such that a collection of these regions forms a basis on $D^n$.
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Sonuç & Katkı:Finally, the equivalent of the inverse function theorem in dual space is given by a theorem and proved.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Dual numbers · topology · dual analytic functions

Abstract

In this paper, the analyticity conditions of dual functions are clearly examined and the properties of the concept derivative are given in detail. Then, using the dual order relation, the dual analytic regions of dual analytic functions are constructed such that a collection of these regions forms a basis on $D^n$. Finally, the equivalent of the inverse function theorem in dual space is given by a theorem and proved.

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Bu Makaleye Atıf Yap

Durmaz, O., Aktaş, B., Keçilioğlu, O. (2022). An overview to analyticity of dual functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 4. https://doi.org/10.31801/cfsuasmas.1035344

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