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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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0xμv+1+2nJμ(ax)Jμ(bx)dxx2+c2=(1)ncμv+2nIv(bc)Kμ(ac)

si824_e  ET II 49(15)

[b>0,??a>b,??Rec>0,?Recv2n+2>Reμ>n1,??n0?an?integer]si825_e

6.578

1. 

0xϱ1Jλ(ax)Jμ(bx)Jv(cx)dx=2ϱ1aλbμcλμϱΓ(λ+μ+v+ϱ2)Γ(λ+1)Γ(μ+1)?Γ?(1λ+μ+v+ϱ2)×F4(λ+μv+e2,λ+μ+v+ϱ2;λ+1,μ+1;a2c2,b2c2)

si826_e  ET II 351(9)

[Re(λ+μ+v+ϱ)>0,?Reϱ<52,?a>0,?b>0,?c>0,?c>a+b]si827_e

2. 

0xϱ1Jλ(ax)Jμ(bx

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