Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50593#.VEX4z1fHRK0 Author(s) K. C. Garrett 1 , Kendra Killpatrick 2* Affiliation(s) 1 Department of Mathematics, Statistics and Computer Science, St. Olaf College, Northfield, MN, USA . 2 Natural Science Division, Pepperdine University, Malibu, CA, USA . 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 operator. In 2008, Andrews and Littlejohn gave a combinatorial interpretation of these numbers in terms of set partitions. In 2012, Mongelli noticed that both the Jacobi-Stirling and the L...
Scientific Research Publishing