Hermite and poly-Bernoulli mixed-type polynomials

2013/10/04 by Dae San Kim, Dae san Kim, Kim, Dae san +3
Mathematics · Physics and Astronomy · #11S80 #11b68 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11S80 #msc:11b68

paper · pdf · doi:10.48550/arxiv.1310.1239

11 pages

arxiv created 2013/10/04 · openalex publication_date 2013/10/04 · arxiv updated 2013/10/07 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider Hermite and poly-Bernoulli mixed-type polynomials and investigate the properties of those polynomials which are derived from umbral calculus. Finally, we give various identities associated with Stirling numbers, Bernoulli and Frobenius-Euler polynomials of higher order.

Citations

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

Related

• Higher-order Bernoulli and poly-Bernoulli mixed type polynomials
• Higher-order frobenius-Euler and poly-Bernoulli mixed type polynomials
• Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials
• Poisson-Charlier and poly-Cauchy mixed type polynomials
• Some identities of higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus