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Journals / Konuralp Journal of Mathematics / 2022 / Volume: 10 Issue: 2

On $ p,q $-Harmonic Numbers

Serpil Halıcı(PAMUKKALE ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0000-0002-8071-0437
Zehra Betül Gür(PAMUKKALE ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)
Pages
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Publication Date
2022-10-31
DOI
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AI Summary & Key Takeaways

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

We defined p,q-harmonic numbers which is also a generalization of q-harmonic numbers and deduced some properties and identities related to this number sequence by using some combinatorial operations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we examined a new generalization of well-known number sequence which is called harmonic numbers.
📊
Key Findings & Data:In this study, we examined a new generalization of well-known number sequence which is called harmonic numbers.
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Conclusion & Impact:We defined p,q-harmonic numbers which is also a generalization of q-harmonic numbers and deduced some properties and identities related to this number sequence by using some combinatorial operations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:q-calculus · q-analogue · harmonic numbers

Abstract

In this study, we examined a new generalization of well-known number sequence which is called harmonic numbers. We defined p,q-harmonic numbers which is also a generalization of q-harmonic numbers and deduced some properties and identities related to this number sequence by using some combinatorial operations.

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Cite This Article

Halıcı, S., Gür, Z. B. (2022). On $ p,q $-Harmonic Numbers. Konuralp Journal of Mathematics, Volume: 10 Issue: 2. https://ajindex.com/articles/1521555

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