1Department of Mathematical Sciences , University of South Carolina, Aiken, Aiken, SC, 29801, USA,.
2Department of Mathematical Sciences, University of South Carolina, Aiken, Aiken, SC, 29801, USA,.
In this paper we study the generating function of a is a real number with a ≥ 1. We then obtain the generating functions of dual symplectic rook monoids. Finally, we describe the connection of these functions with Laguerre polynomials.
Generating function, dual symplectic rook monoid, Laguerre polynomial
