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Journals / Hacettepe Journal of Mathematics and Statistics / 2025 / Volume: 54 Issue: 6

Strongly completely monotonic functions on time scales

Jing-feng Tian(North China Electric Power University)0000-0002-0631-038X
Xiao-yue Du(North China Electric Power University)0009-0003-7792-6231
Zhong-xuan Mao(North China Electric Power University)0000-0001-5089-301X
Jun-yi Li(Northwestern Polytechnical University)0009-0006-6010-2174
Pages
—
Publication Date
2025-12-30
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AI Summary & Key Takeaways

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

As applications, we prove that certain functions involving the confluent and Gaussian hypergeometric functions are strongly completely monotonic.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the concept of strongly completely monotonic functions on time scales and investigate several properties of such functions.
📊
Key Findings & Data:Meanwhile, we present some key results considering three special cases including continuous, discrete, and quantum.
💡
Conclusion & Impact:As applications, we prove that certain functions involving the confluent and Gaussian hypergeometric functions are strongly completely monotonic.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:time scales · strongly completely monotonic function · completely monotonic function

Abstract

In this paper, we introduce the concept of strongly completely monotonic functions on time scales and investigate several properties of such functions. Meanwhile, we present some key results considering three special cases including continuous, discrete, and quantum. As applications, we prove that certain functions involving the confluent and Gaussian hypergeometric functions are strongly completely monotonic.

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Cite This Article

Tian, J., Du, X., Mao, Z., Li, J. (2025). Strongly completely monotonic functions on time scales. Hacettepe Journal of Mathematics and Statistics, Volume: 54 Issue: 6. https://doi.org/10.15672/hujms.1597774

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