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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 75 Issue: 1

A Novel Summation Identity by Using Delannoy Triangle

Said Amrouche(USTBH)0000-0002-2550-4550
Hacène Belbachir(USTBH)0000-0001-8540-3033
Nurettin Irmak(KONYA TEKNİK UNİVERSİTESIİ)0000-0003-0409-4342
Pages
—
Publication Date
2026-03-29
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AI Summary & Key Takeaways

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

Motivated by our search for the solutions of balancing problem, we give a novel identity on the Delannoy triangle.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the balancing and co-balancing problems for the coefficients located along the direction $(1,-1)$ of the Delannoy triangle.
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Key Findings & Data:In this paper, we study the balancing and co-balancing problems for the coefficients located along the direction $(1,-1)$ of the Delannoy triangle.
💡
Conclusion & Impact:Motivated by our search for the solutions of balancing problem, we give a novel identity on the Delannoy triangle.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Diophantine equations · Delannoy triangle · balancing problems

Abstract

In this paper, we study the balancing and co-balancing problems for the coefficients located along the direction $(1,-1)$ of the Delannoy triangle. Motivated by our search for the solutions of balancing problem, we give a novel identity on the Delannoy triangle.

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Cite This Article

Amrouche, S., Belbachir, H., Irmak, N. (2026). A Novel Summation Identity by Using Delannoy Triangle. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 75 Issue: 1. https://doi.org/10.31801/cfsuasmas.1554526

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