id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4227	Reynolds, Robert; Stauffer, Allan 	A Triple Integral Involving the Struve Function Hv(t) Expressed in terms of the Hurwitz-Lerch Zeta Function	2022	6	.pdf	application/pdf	1947	109	72	Introduction In this paper we derive the triple definite integral given by (1) ∫ ∞ 0 ∫ ∞ 0 ∫ ∞ 0 y1−mtm−v−1x−m+2v+1HHHv(t)e −bx2−cy2 logk ( at xy ) dxdydt ∗Corresponding author. y1−mtm−v−1x−m+2v+1HHHv(t)e −bx2−cy2 logk ( at xy ) dxdydt = 1 2πi ∫ ∞ 0 ∫ ∞ 0 ∫ ∞ 0 ∫ C aww−k−1y−m−w+1HHHv(t) e−bx2−cy2tm−v+w−1x−m+2v−w+1dwdxdydt = 1 2πi ∫ C ∫ ∞ 0 ∫ ∞ 0 ∫ ∞ 0 aww−k−1y−m−w+1HHHv(t) e−bx2−cy2tm−v+w−1x−m+2v−w+1dxdydtdw = 1 2πi ∫ C πaww−k−1c m+w 2 −12m−v+w−3 sec ( 1 2 π(m+ w) ) b m+w 2 −v−1dw from equation (13.2) on page 392 in [8] and equation (3.326.2) in [2] where −1 < Re(w + m) < 0 and Re(w + m) < Re(v) + 3/2, Re(b) > 0, Re(c)	cache/ejpam-4227.pdf	txt/ejpam-4227.txt