English

The solution of conformable Laguerre differential equation using conformable Laplace transform

Classical Analysis and ODEs 2023-07-21 v1

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

Cite

@article{arxiv.2112.01322,
  title  = {The solution of conformable Laguerre differential equation using conformable Laplace transform},
  author = {Eqab. M. Rabei and Ahmed Al-Jamel and Mohamed. Al-Masaeed},
  journal= {arXiv preprint arXiv:2112.01322},
  year   = {2023}
}
R2 v1 2026-06-24T08:01:47.719Z