Eulerian Polynomials and Ramanujan Summation

Abstract

Among several classes of numbers that occur in combinatorial problems, Eulerian Numbers play an significant role with its abundance occurrence. In this Paper, I will introduce Eulerian Numbers, Eulerian Polynomials and prove some of the interesting properties concerning them. I will finally relate these interesting classes of numbers with Ramanujan Summation, one of very interesting summation methods proposed by Srinivasa Ramanujan.