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

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0x2λ1(a+x)μ12e12xMk,μ12x(a+x)dx=Γ(2λ)Γ(2μ+1)Γ(k+μ2λ+12)Γ(k+μ+12)Γ(12λ+2μ)aλμ12Mkλ,μλ(a)

si827_e  ET II 405(20)

[Re λ>0,Re(k+μ2λ)>12]si828_e

3. 

0x2λ1(a+x)μ12e12xWk,μ(a+x)dx=Γ(2λ)aλμ12Wkλ,μλ(a)

si829_e  ET II 411(47)

[|arga|<π,   Re λ>0]|si830_e

4. 

0xλ1(a+x)kλ1e12xWk,μ(a+x)dx=Γ(λ)ak1Wkλ,μ(a)

  ET II 411(48)

[|arga|<π,   Re λ>0]|

5. 

0x

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