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Math Help - Unproven identities

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    Unproven identities

    Does anybody know whether or not all of Ramanjuan's identities were proven? If not can you post some of them?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    Does anybody know whether or not all of Ramanjuan's identities were proven? If not can you post some of them?
    nope, and no

    Signature: \int_0^{\infty} \frac{1 + \left( \frac{x}{b+1} \right)^2}{1+\left( \frac{x}{a} \right)^2} \cdot \frac{1+\left( \frac{x}{b+2} \right)^2}{1 + \left( \frac{x}{a+1} \right)^2} dx = \frac{1}{2^{\pi/2}}\cdot \frac{ \Gamma (a+1/2) \Gamma (b+1) \Gamma (b-a + 1/2)}{\Gamma (a) \Gamma (b+1/2) \Gamma (b-a + 1/2)}<br />
    that's nice!
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