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Abstract
In this paper, we study a degenerate version of the Daehee polynomials and numbers, namely the degenerate Daehee polynomials and numbers, which were actually called the degenerate Daehee polynomials and numbers of the third kind and recently introduced by Jang et al. (J. Comput. Appl. Math. 364:112343, 2020). We derive their explicit expressions and some identities involving them. Further, we introduce the multiple degenerate Daehee numbers and higher-order degenerate Daehee polynomials and numbers which can be represented in terms of integrals on the unitcube. Again, we deduce their explicit expressions and some identities related to them.
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1 Xian Technological University, School of Science, Xian, China (GRID:grid.460183.8) (ISNI:0000 0001 0204 7871); Kwangwoon University, Department of Mathematics, Seoul, Republic of Korea (GRID:grid.411202.4) (ISNI:0000 0004 0533 0009)
2 Sogang University, Department of Mathematics, Seoul, Korea (GRID:grid.263736.5) (ISNI:0000 0001 0286 5954)
3 Kwangwoon University, Department of Mathematics, Seoul, Republic of Korea (GRID:grid.411202.4) (ISNI:0000 0004 0533 0009)
4 Gyeongsang National University, Department of Mathematics Education and ERI, Jinju, Republic of Korea (GRID:grid.256681.e) (ISNI:0000 0001 0661 1492)