On degenerate Bell polynomials associated with special numbers and polynomials

초록

The aim of this paper is to study the Bell polynomials and three kinds of their degenerate versions, namely the degenerate Bell polynomials, the type 2 degenerate Bell polynomials and the modified degenerate Bell polynomials. We derive some identities on the Bell polynomials and the three kinds of their degenerate versions associated with some special numbers and polynomials, including the Stirling numers of the second kind, the degenerate Stirling numbers of the second kind, the derangement numbers and the degenerate Fubini polynomials.

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