id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1368	Shilin, I. A.; Nizhnikov, A. I.	Some Formulas for Legendre Functions Induced by the Poisson Transform	2011	4	.pdf	application/pdf	2099	139	89	= (−1)l−1 2−σ− 5 2 π− 1 2 e−α sinhα sin(−πσ) ·( coshα+ 1 coshα − 1 ) l 2+ 1 4 Γ(σ + 1− l) Γ ( l − 3 2 ) ·∫ ∞ 0 λ−σ−1Kσ+1(λe−α) ∞∑ s=0 (−1)n Γ−2(s+ 1) · Γ−1(s − σ)G2113 ( λ2 4 ∣∣∣∣∣ −s −σ − 1, 0, 0 ) dλ. − 2) · Γ− 1 2 (n+ k0 + k1 − 2) k0−k1∑ m=0 (−1)m (m!)−1 · Γ(n+ k0 + k1 +m− 2) Γ−1 ( n− 1 2 + k1 +m ) · Γ−1(k0 − k1 −m− 1) Γ−1(−σ + k1 +m) · G2113 ⎛⎝λ2 4 ∣∣∣∣∣∣ −m −σ + k1 − 1, n− 3 2 + k1 ⎞⎠ .	cache/ap-1368.pdf	txt/ap-1368.txt