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arxiv: 1207.0430 · v1 · pith:YZIXWV2Unew · submitted 2012-07-02 · 🧮 math.CO

General Eulerian Numbers and Eulerian Polynomials

classification 🧮 math.CO
keywords euleriangeneralnumberspolynomialsarithmeticbeendefinedefinitions
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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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