id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5957	Bago, Raimah; Abdulcarim, Normalah	On Gould-Hopper-based Bivariate Fubini polynomials	2025	25	.pdf	application/pdf	7441	522	86	= ye(x+1)t+ztj 1− y(et − 1) = ext+ztj − ext+ztj + yext+ztj − yext+ztj + ye(x+1)t+ztj 1− y(et − 1) = ext+ztj + yext+ztj − ext+ztj (1− yet + y) 1− y(et − 1) = ext+ztj 1− y(et − 1) + yext+ztj 1− y(et − 1) − ext+ztj . = ext+ztj 1− y(et − 1) , (23) where |t| < 2π, if y y+1 = 1, and |t| < ∣∣∣ln( y y+1 )∣∣∣, if y y+1 ̸= 1. Observe that when j = 2, ∞∑ n=0 HF (2) n (x, y; z) tn n! = ext+zt2 1− y(et − 1) = ∞∑ n=0 HFn(x, y; z) tn n! , (24) which are the 3-variable Hermite-Fubini polynomials.	cache/ejpam-5957.pdf	txt/ejpam-5957.txt