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From a journal, they proved this equality:

$$ \frac{z}{\alpha -1}\left(\int_0^1 \frac{t^{\frac{1}{\alpha}}}{1-tz} dt -\alpha \int_0^1 \frac{v}{1-vz} dv\right) = \int_0^1 t^{\frac{1}{\alpha}} \left(\int_0^1 \frac{vz}{1-tvz}dv\right)dt $$

I already tried various methods to prove it but I can't get the same equality. Do you have any idea? I really need to refer this journal to assist my research. Thank you.

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    Your previous questions have kept referring to some journal article, but it seems you haven't mentioned which one...2011-12-12
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    Just say the title of the article, and in which journal it was published. It is common here to give citations, you know...2011-12-12
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    You say it's proved in the journal, but can't prove it? Doesn't the proof in the journal work?2011-12-12
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    *Because my supervisor bought that journal, so I thought that it is not available to the public*... Care to explain?2011-12-12

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