A Novel Summation Identity by Using Delannoy Triangle

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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Publication Details

Journal
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Published
2026-03-29
DOI
https://doi.org/10.31801/cfsuasmas.1554526
Primary Topic
Mathematics and Applications
Type
article
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article

A Novel Summation Identity by Using Delannoy Triangle

Said Amrouche, Nurettin Irmak, Hacène Belbachir
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Mathematics and Applications
article

A Novel Summation Identity by Using Delannoy Triangle

Said Amrouche, Nurettin Irmak, Hacène Belbachir
article en

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.

Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsVol. 75(1)
University of Science and Technology of Benin (BJ), Konya Technical University (TR)
Reduced inequalities
Openalex Percentile: Top 1%
Mathematics and Applications
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