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. 
Tingyao Xiong, Hung-ping Tsao, Jonathan I. Hall
math.CO