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.
Degenerate Cauchy polynomials degenerate Cauchy numbers recurrences convolutions congruences
Primary Language | English |
---|---|
Subjects | Algebra and Number Theory, Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics) |
Journal Section | Mathematics |
Authors | |
Early Pub Date | August 27, 2024 |
Publication Date | |
Published in Issue | Year 2024 Early Access |