id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-359	Saleeby, Elias G.; Joarder, Anwar H.; Rabiei, Nima	On the Cumulative Distribution Function of the Difference of Two Dependent Chi Square Random Variables	2025	11	.pdf	application/pdf	4357	212	76	Returning to the contour integral representation of Meijer G, but now as given in [10], we see in our specific case that G2,1 1,3 ( 1 1 2 m 2 0 |z ) = 1 2πi ∫ L Γ( 1 2 +s)Γ(m2 +s)Γ(−s) Γ(1+s) z−sds, where L is a contour in the complex s-plane, which exists as a1 − bi − 1 /∈ N (see [11]). [ Γ (1− a1 + b1) zb1 1F̃2 (1− a1 + b1; b1 − b2 + 1, b1 − b3 + 1; z) −Γ (1− a1 + b2) zb2 1F̃2 (1− a1 + b2; 1− b1 + b2, b2 − b3 + 1; z) ] , where b2 − b1 /∈ Z.	cache/ma-359.pdf	txt/ma-359.txt