TITLE:
Some Identities Involving the High-Order Cauchy Polynomials
AUTHORS:
Liwei Liu, Wuyungaowa
KEYWORDS:
High-Order Daehee Numbers and Polynomials, The Bernoulli Numbers and Polynomials, High-Order Changhee Polynomials, Stirling Numbers, The Lah Numbers
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.4,
April
12,
2022
ABSTRACT: In this paper, we consider the Cauchy numbers and polynomials of order k and give some relation between Cauchy polynomials of order k and special polynomials by using generating functions and the Riordan matrix methods. In addition, we establish some new equalities and relations involving high-order Cauchy numbers and polynomials, high-order Daehee numbers and polynomials, the generalized Bell polynomials, the Bernoulli numbers and polynomials, high-order Changhee polynomials, high-order Changhee-Genocchi polynomials, the combinatorial numbers, Lah numbers and Stirling numbers, etc.