On arithmetical properties of degenerate Cauchy polynomials and numbers

CENKCİ M., Komatsu T.

Hacettepe Journal of Mathematics and Statistics, cilt.54, sa.2, ss.457-469, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.15672/hujms.1354679
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.457-469
  • Anahtar Kelimeler: congruences, convolutions, degenerate Cauchy numbers, degenerate Cauchy polynomials, recurrences
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.