On arithmetical properties of degenerate Cauchy polynomials and numbers

CENKCİ M., Komatsu T.

Hacettepe Journal of Mathematics and Statistics, vol.54, no.2, pp.457-469, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.15672/hujms.1354679
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.457-469
  • Keywords: congruences, convolutions, degenerate Cauchy numbers, degenerate Cauchy polynomials, recurrences
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we study the arithmetical properties of degenerate Cauchy polynomials and numbers. We present some basic properties and recurrence relations, determine all the coefficients of degenerate Cauchy polynomials, and give some convolution identities. These results are particularly useful to deduce interesting and new divisibility properties for degenerate Cauchy polynomials and numbers.