Some Identities Related to the Second-Order Eulerian Numbers

math.CO

/ Authors

/ Abstract

We express the Nörlund polynomials in terms of the second-order Eulerian numbers. Based on this expression, we derive several identities related to the Bernoulli numbers. In particular, we present a short proof of the problem raised by Rzcadkowski and Urlińska.

Some Identities Related to the Second-Order Eulerian Numbers

math.CO

/ Authors

Amy M. Fu

/ Abstract

We express the Nörlund polynomials in terms of the second-order Eulerian numbers. Based on this expression, we derive several identities related to the Bernoulli numbers. In particular, we present a short proof of the problem raised by Rzcadkowski and Urlińska.