Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2016; 53(5): 1427-1437

Online first article August 25, 2016      Printed September 30, 2016

https://doi.org/10.4134/BKMS.b150736

Copyright © The Korean Mathematical Society.

On finite times degenerate higher-order Cauchy numbers and polynomials

Joohee Jeong and Seog-Hoon Rim

Kyungpook National University, Kyungpook National University

Abstract

Cauchy polynomials are also called Bernoulli polynomials of the second kind and these polynomials are very important to study mathematical physics. D. S. Kim et al. have studied some properties of Bernoulli polynomials of the second kind associated with special polynomials arising from umbral calculus. T. Kim introduced the degenerate Cauchy numbers and polynomials which are derived from the degenerate function $e^t$. Recently J. Jeong, S. H. Rim and B. M. Kim studied on finite times degenerate Cauchy numbers and polynomials. In this paper we consider finite times degenerate higher-order Cauchy numbers and polynomials, and give some identities and properties of these polynomials.

Keywords: higher-order Cauchy numbers, higher-order degenerate Cauchy polynomials, $k$-times degenerate higher-order Cauchy polynomials, higher order Bernoulli polynomials

MSC numbers: 11B68, 11S40, 11S80

Stats or Metrics

Share this article on :

Related articles in BKMS