We study a homogeneous partial differential equation and get its entire solutions represented in convergent series of Laguerre polynomials. Moreover, the formulae of the order and type of the solutions are established.
"A Linear Homogeneous Partial Differential Equation with Entire Solutions Represented by Laguerre Polynomials." Abstr. Appl. Anal. 2012 (SI09) 1 - 10, 2012. https://doi.org/10.1155/2012/609862