Author(s)

Liwei Liu,   Wuyungaowa^*

Department of Mathematics, College of Sciences and Technology, Inner Mongolia University, Hohhot, China.

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.

High-Order Daehee Numbers and Polynomials, The Bernoulli Numbers and Polynomials, High-Order Changhee Polynomials, Stirling Numbers, The Lah Numbers

Liu, L. and Wuyungaowa,  . (2022) Some Identities Involving the High-Order Cauchy Polynomials. Journal of Applied Mathematics and Physics, 10, 1126-1145. doi: 10.4236/jamp.2022.104079.