The solution of conformable Laguerre differential equation using conformable Laplace transform

Abstract

In this paper, the conformable Laguerre and associated Laguerre differential equations are solved using the Laplace transform. The solution is found to be in exact agreement with that obtained using the power series. In addition some of properties of the Laguerre polynomial is discussed and the conformable Rodriguez's Formula and generating function are proposed and proved

References in corpus (2)

• Fractional Hamilton formalism within Caputo's derivative
• WKB Approximation with Conformable Operator

Cited by in corpus (2)

• Quantization of the Bateman damping system with conformable derivative
• Solving conformable Gegenbauer differential equation and exploring its generating function