id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5886	Wani, Shahid Ahmad; Khan, Waseem Ahmad; Alqurashi, Taghreed; Dar, Javid Gani; Salcedo, Dxion	Certain Properties of $\Delta_h$ Legendre Polynomials and Applications in Computer Modelling	2025	16	.pdf	application/pdf	5109	380	61	Legendre polynomials exhibit orthogonality with respect to the weight function e−u on [0,+∞), ensuring that the weighted integral of two polynomials with different degrees is zero. Widely applied in mathematics, physics, and engineering, Legendre polynomials are integral to solving the Schrödinger equation for spherically symmetric quantum systems, including the hydrogen atom.	cache/ejpam-5886.pdf	txt/ejpam-5886.txt