DLMF:2.6.E40 (Q866): Difference between revisions

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imported>Admin
Property / constraint
 

t > 0 𝑡 0 {\displaystyle{\displaystyle t>0}}

t>0
Property / constraint: t > 0 𝑡 0 {\displaystyle{\displaystyle t>0}} / rank
 
Normal rank

Revision as of 15:54, 30 December 2019

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DLMF:2.6.E40
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    t μ - 1 t - s - 1 = ( - 1 ) s μ s ! D s + 1 ( t μ ( ln t - γ - ψ ( μ + 1 ) ) ) , superscript 𝑡 𝜇 1 superscript 𝑡 𝑠 1 superscript 1 𝑠 𝜇 𝑠 superscript 𝐷 𝑠 1 superscript 𝑡 𝜇 𝑡 digamma 𝜇 1 {\displaystyle{\displaystyle t^{\mu-1}\ast t^{-s-1}=\frac{(-1)^{s}}{\mu\cdot s% !}D^{s+1}\left(t^{\mu}\left(\ln t-\gamma-\psi\left(\mu+1\right)\right)\right),}}
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    t > 0 𝑡 0 {\displaystyle{\displaystyle t>0}}
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