id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4792	Sattaso, Supaknaree; Prasertsang, Patarawadee; Prasertsang, Torsak	Using $G_{\alpha}$-transform to Study Higher-order Differential Equations with Polynomial Coefficients	2023	17	.pdf	application/pdf	5510	395	82	Table 1 lists some of the transforms along with their definitions, and we use α to convert the Gα-transform as appropriate. Table 1: Some integral transform definitions Transform Definition Gα-Transform Laplace ∫∞ 0 e−τ/wf(τ)dτ α = 0 and 1/s = w Sumudu 1 w ∫∞ 0 e−τ/wf(τ)dτ n−1∏ s=l (m+ α− s) Y (l)(w) wm−n−l − m−1∑ k=0 n∏ L=1 (−m+ k + L)wα−m+k+L+1y(k)(0).	cache/ejpam-4792.pdf	txt/ejpam-4792.txt