ABSTRACT: The Legendre-Stirling numbers were discovered by Everitt, Littlejohn and Wellman in 2002 in a study of the spectral theory of powers of the classical second-order Legendre differential ...
The study of integer partitions has a long and storied history, notably beginning with the pioneering work of Hardy and Ramanujan, and continues to be enriched by modern asymptotic techniques. Recent ...
In this paper we present combinatorial interpretations and polynomials generalizations for sequences including the Fibonacci numbers, the Pell numbers and the Jacobsthal numbers in terms of partitions ...
Department of Computer Science and Information Engineering, National Chung Cheng University, ChiaYi 621, Taiwan, R.O.C.