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Diagonal recurrence relations, inequalities, and monotonicity related to the Stirling numbers of the second kind

2014/02/28 by Feng Qi
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Combinatorics #Conjecture #Diagonal #Geometry #Inequality #Mathematical Inequalities and Applications #Mathematical analysis #Mathematics #Monotonic function #Pure mathematics #Recurrence relation #Stirling engine #Stirling number #Stirling numbers of the first kind #Stirling numbers of the second kind #math.CA #math.CO #math.NT #msc:05A18 #msc:11B73 #msc:11B83 #msc:11R33 #msc:26D15 #msc:33B10 #msc:44A10

paper · pdf · doi:10.7153/mia-19-23

published as Mathematical Inequalities & Applications 19 (2016), no. 1, 313--323 · 9 pages

arxiv created 2014/09/23 · openalex publication_date 2016/01/01 · arxiv updated 2016/01/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the paper, the author derives several "diagonal" recurrence relations, constructs some inequalities, finds monotonicity, and poses a conjecture related to the Stirling numbers of the second kind.

Citations