General Eulerian Numbers and Eulerian Polynomials

Published 2 Jul 2012 in math.CO | (1207.0430v1)

Abstract: In this paper, we will define general Eulerian numbers and Eulerian polynomials based on general arithmetic progressions. Under the new definitions, we have been successful in extending several well-known properties of traditional Eulerian numbers and polynomials to the general Eulerian polynomials and numbers.

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