On The Log-Concavity of Polygonal Figurate Number Sequences

2020/06/09 by Fekadu Tolessa Gedefa, Gedefa, Fekadu Tolessa
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.2006.05286

8 pages

arxiv created 2020/06/09 · openalex publication_date 2020/06/09 · arxiv updated 2020/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper presents the log-concavity of the m-gonal figurate number sequences. The author gives and proves the recurrence formula for m-gonal figurate number sequences and its corresponding quotient sequences which are found to be bounded. Finally, the author also show that for m≥ 3, the sequence \S_n(m)\_{n≥ 1} of m-gonal figurate numbers is a log-concave.

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