2017•arXiv (Cornell University)Open access

Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials

Taekyun Kim, Dae San Kim

Abstract

In a recent work, the degenerate Stirling polynomials of the second kind were studied by T. Kim. In this paper, we investigate the extended degenerate Stirling numbers of the second kind and the extended degenerate Bell polynomials associated with them. As results, we give some expressions, identities and properties about the extended degener- ate Stirling numbers of the second kind and the extended degenerate Bell polynomials.

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Key concepts: Bell polynomials, Degenerate energy levels, Stirling number, Stirling numbers of the second kind, Stirling engine, Stirling numbers of the first kind, Mathematics, Pure mathematics