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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 1

On monotonic and logarithmic concavity properties of generalized $k$-Bessel function

İbrahim Aktaş
Pages
180–187
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

In addition, by using the relationships between Bessel-type special functions and some basic functions, we present some specific examples related to the monotonic and log-concavity properties of some trigonometric and hyperbolic functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, our main objective is to determine some monotonic and log-concavity properties of generalized $k$-Bessel function by using its Hadamard product representation and some earlier results on power series.
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Key Findings & Data:In this study, our main objective is to determine some monotonic and log-concavity properties of generalized $k$-Bessel function by using its Hadamard product representation and some earlier results on power series.
💡
Conclusion & Impact:In addition, by using the relationships between Bessel-type special functions and some basic functions, we present some specific examples related to the monotonic and log-concavity properties of some trigonometric and hyperbolic functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$k$-Gamma functions · $k$-Bessel function · monotonicity

Abstract

In this study, our main objective is to determine some monotonic and log-concavity properties of generalized $k$-Bessel function by using its Hadamard product representation and some earlier results on power series. In addition, by using the relationships between Bessel-type special functions and some basic functions, we present some specific examples related to the monotonic and log-concavity properties of some trigonometric and hyperbolic functions.

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Cite This Article

Aktaş, İ. (2022). On monotonic and logarithmic concavity properties of generalized $k$-Bessel function. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 1, 180–187. https://ajindex.com/articles/529497

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