Poly-Cauchy and Peters mixed-type polynomials

2013/10/08 by Dae San Kim, Kim, Dae San, Taekyun Kim +1
Mathematics · #11B68 #11S80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1310.2104

18 pages

arxiv created 2013/10/08 · openalex publication_date 2013/10/08 · arxiv updated 2013/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Peters polynomials are a generalization of Boole polynomials. In this paper, we consider Peters and poly-Cauchy mixed type polynomials and investigate the properties of those polynomials which are derived from umbral calculus. Finally, we give various identities of those polynomials associated with special polynomials.

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• Poisson-Charlier and poly-Cauchy mixed type polynomials
• Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials
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