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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Some properties of this transform are also given.
📌 3 Key Takeaways
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Objective & Hypothesis:In this note, we introduce the fractional Airy transform using the higher order derivatives of the Airy function and the Airy polynomials.
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Key Findings & Data:Then, we show that the new integral transform is coincided to the natural Airy transform in particular case of the scaling parameter.
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Conclusion & Impact:Some properties of this transform are also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Airy function · Airy polynomials · Airy transform
Abstract
In this note, we introduce the fractional Airy transform using the higher order derivatives of the Airy function and the Airy polynomials. Then, we show that the new integral transform is coincided to the natural Airy transform in particular case of the scaling parameter. Some properties of this transform are also given.
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Cite This Article
ANSARI, A. (2022). The fractional airy transform. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 4, 761–766. https://ajindex.com/articles/530285