id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3987	Reynolds, Robert; Stauffer, Allan	The Double Laplace Transform Expressed in terms of the Lerch Transcendent	2021	20	.pdf	application/pdf	6256	302	80	Introduction In this paper we derive the double Laplace transform given by (1) ∫ ∞ 0 ∫ ∞ 0 xp−1yn−p−1 logk ( bx y ) e−(sx)n−(ty)ndxdy where the parameters a, k s and t are general complex numbers, n > Re(p) and Re(p) > 0. ∫ ∞ 0 ∫ ∞ 0 xp−1yn−p−1e−x n−yn log ( x y ) dxdy = − π2 cot (πp n ) csc (πp n )	cache/ejpam-3987.pdf	txt/ejpam-3987.txt