2012/07/02 by Tingyao Xiong, Xiong, Tingyao, Hung-ping Tsao +3
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1207.0430
openalex publication_date 2012/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we will define general Eulerian numbers and Eulerian polynomials based on general arithmetic progressions. Under the new definitions, we have been successful in extending several well-known properties of traditional Eulerian numbers and polynomials to the general Eulerian polynomials and numbers.