@article{article_1354679, title={On arithmetical properties of degenerate Cauchy polynomials and numbers}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={54}, pages={457–469}, year={2025}, DOI={10.15672/hujms.1354679}, author={Cenkci, Mehmet and Komatsu, Takao}, keywords={degenerate Cauchy polynomials, degenerate Cauchy numbers, recurrences, convolutions, congruences}, 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.}, number={2}, publisher={Hacettepe University}