id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4154	Reynolds, Robert; Stauffer, Allan	A Note on an Octuple Integral in terms of the Lerch Function	2022	7	.pdf	application/pdf	2237	104	70	Introduction The octuple integral derived in this manuscript is given by ∫ R8 + (rs) m−1 2 (r + s)−m/2(tz)− m 2 −1(t+ z) m+1 2 (uv)− m 2 − 1 2 (u+ v)m/2(xy)m/2(x+ y) 1 2 (−m−1)e−p(r+u+x+z)−q(s+t+v+y) logk ( a √ rs √ t+ z √ u+ v √ xy √ r + s √ tz √ uv √ x+ y ) dxdydzdrdsdtdudv (1) where the parameters k, a ∈ C, Re(p, q) > 0 are general complex numbers with −1/2 ≥ Re(m) ≥ −1. Using equation (2) we replace y by (3)log ( a √ rs √ t+ z √ u+ v √ xy √ r + s √ tz √ uv √ x+ y ) then multiply by both sides by (4)(rs) m−1 2	cache/ejpam-4154.pdf	txt/ejpam-4154.txt