arXiv subjects

Hung-ping Tsao

Publications and source records attributed to Hung-ping Tsao.

2 recordsLinked to original sources

arXiv2014

Combinatorial Interpretation of General Eulerian Numbers

Since 1950s, mathematicians have successfully interpreted the traditional Eulerian numbers and $q-$Eulerian numbers combinatorially. In this paper, the authors give a combinatorial interpretation to the general Eulerian numbers defined on general arithmetic progressions { a, a+d, a+2d,...}.

math.CO↗

arXiv2012

General Eulerian Numbers and Eulerian Polynomials

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.

math.CO↗