A note on degenerate stirling numbers and their applications
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In this paper, we introduce degenerate Stirling numbers of the first kind which are different from the Carlitz's type degenerate Stirling numbers of the first kind. Then we derive some identities involving these numbers and other degenerate special numbers like degenerate Stirling numbers of the second kind, degenerate Bernoulli numbers, degenerate Euler numbers, and degenerate Daehee numbers of the second kind.
Abstract
In this paper, we introduce degenerate Stirling numbers of the first kind which are different from the Carlitz's type degenerate Stirling numbers of the first kind. Then we derive some identities involving these numbers and other degenerate special numbers like degenerate Stirling numbers of the second kind, degenerate Bernoulli numbers, degenerate Euler numbers, and degenerate Daehee numbers of the second kind.
참고문헌 (9)
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- YILMAZ SIMSEK, "IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(2), pp.199~212 (2017), 장전수학회[DOI]
- 표성수, "DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS OF THE FOURTH KIND", Advanced Studies in Contemporary Mathematics, 28(1), pp.127~138 (2018), 장전수학회[DOI]