DLMF:1.15.E47 (Q589): Difference between revisions

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Property / Symbols defined: fractional integral (locally) / rank
 
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Revision as of 14:54, 30 December 2019

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DLMF:1.15.E47
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    I α f ( x ) = 1 Γ ( α ) 0 x ( x - t ) α - 1 f ( t ) d t . superscript 𝐼 𝛼 𝑓 𝑥 1 Euler-Gamma 𝛼 subscript superscript 𝑥 0 superscript 𝑥 𝑡 𝛼 1 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle I^{\alpha}f(x)=\frac{1}{\Gamma\left(\alpha\right)% }\int^{x}_{0}(x-t)^{\alpha-1}f(t)\mathrm{d}t.}}
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