Multiparameter poly-Cauchy and poly-Bernoulli numbers and polynomials

2014/10/20 by B. S. El-Desouky, El-Desouky, B. S., Rabab S. Gomaa +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1410.5300

openalex publication_date 2014/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, Komastu introduced the concept of poly-Cauchy numbers and polynomials which generalize Cauchy numbers and polynomials. In this paper, we introduce new generaliza- tion of poly-Cauchy and poly-Bernoulli numbers and polynomials. Also, we introduce new generalizations of Cauchy numbers and polynomials. Moreover, we derive some identities involving the new numbers and polynomials and some types of Stirling numbers. These gives generalization of some relations poly-Cauchy and poly-Bernoulli numbers and poly- nomials. Furthermore, we obtain some relations between the multiparameter poly-Cauchy numbers and polynomials and new multiparameter poly-Bernoulli numbers and polyno- mials.

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