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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also show that the obtained radii are the smallest positive roots of some functional equations.
📌 3 Key Takeaways
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Objective & Hypothesis:In this investigation our main aim is to determine the radii of uniform convexity of selected normalized $ q $-Bessel and Wright functions.
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Key Findings & Data:Here we consider six different normalized forms of $ q $-Bessel functions and we apply three different kinds of the normalization of the Wright function.
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Conclusion & Impact:We also show that the obtained radii are the smallest positive roots of some functional equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Radius of uniform convexity · Mittag-Leffler expansions · q-Bessel functions
Abstract
In this investigation our main aim is to determine the radii of uniform convexity of selected normalized $ q $-Bessel and Wright functions. Here we consider six different normalized forms of $ q $-Bessel functions and we apply three different kinds of the normalization of the Wright function. We also show that the obtained radii are the smallest positive roots of some functional equations.
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Cite This Article
AKTAŞ, İ., TOKLU, E., ORHAN, H. (2018). Radii of uniform convexity of some special functions. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3010–3024. https://ajindex.com/articles/220601