摘要:The paper focuses on the degenerate Euler numbers, the degenerate Euler polynomials and the degenerate Bernoulli polynomials. By adopting the method of recurrences, two explicit expressions have been established for sums of products of the degenerate Euler polynomials and the degenerate Bernoulli polynomials. As a special case of the degenerate Euler polynomials, an expression can be obtained for ∑ j 1 + j 2 + ⋯ + j N = n j 1 , j 2 , … , j N ⩾ 0 ( n j 1 , j 2 , … , j N ) ε j 1 ( λ ) ε j 2 ( λ ) ⋯ ε j N ( λ ) . MSC:11B68, 11B65, 11B73.