2016/06/18 by Kazuhide Matsuda, Matsuda, Kazuhide · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1606.07753
openalex publication_date 2016/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we realize high-level versions of Jacobi's derivative formula to all the rational characteristics corresponding to level k (k=3,4,5,6). For this purpose, we propose the method to obtain derivative formulas by means of the residue theorem. We believe that this method can be also applied to all the rational characteristics corresponding to level k≥ 7.