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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.brjk.01

 Input Form

 Hypergeometric2F1[-(11/8), 4, 45/8, z] == (1/(515396075520 z^(37/8))) (97643 (-1)^(1/4) (-696696 (-1)^(3/4) z^(5/8) + 452760 (-1)^(3/4) z^(13/8) + 368720 (-1)^(3/4) z^(21/8) + 440880 (-1)^(3/4) z^(29/8) - 4247640 (-1)^(3/4) z^(37/8) + 2633400 (-1)^(3/4) z^(45/8) + 165 (-1)^(3/4) (-1 + z)^3 (2639 + 5187 z + 6669 z^2 + 5985 z^3) Log[1 - z^(1/8)] + 165 (-1)^(1/4) (-1 + z)^3 (2639 + 5187 z + 6669 z^2 + 5985 z^3) Log[1 - I z^(1/8)] + 435435 (-1)^(1/4) Log[1 + I z^(1/8)] - 450450 (-1)^(1/4) z Log[1 + I z^(1/8)] - 160875 (-1)^(1/4) z^2 Log[1 + I z^(1/8)] - 181500 (-1)^(1/4) z^3 Log[1 + I z^(1/8)] - 517275 (-1)^(1/4) z^4 Log[1 + I z^(1/8)] + 1862190 (-1)^(1/4) z^5 Log[1 + I z^(1/8)] - 987525 (-1)^(1/4) z^6 Log[1 + I z^(1/8)] + 435435 (-1)^(3/4) Log[1 + z^(1/8)] - 450450 (-1)^(3/4) z Log[1 + z^(1/8)] - 160875 (-1)^(3/4) z^2 Log[1 + z^(1/8)] - 181500 (-1)^(3/4) z^3 Log[1 + z^(1/8)] - 517275 (-1)^(3/4) z^4 Log[1 + z^(1/8)] + 1862190 (-1)^(3/4) z^5 Log[1 + z^(1/8)] - 987525 (-1)^(3/4) z^6 Log[1 + z^(1/8)] + 435435 I Log[1 - (-1)^(1/4) z^(1/8)] - 450450 I z Log[1 - (-1)^(1/4) z^(1/8)] - 160875 I z^2 Log[1 - (-1)^(1/4) z^(1/8)] - 181500 I z^3 Log[1 - (-1)^(1/4) z^(1/8)] - 517275 I z^4 Log[1 - (-1)^(1/4) z^(1/8)] + 1862190 I z^5 Log[1 - (-1)^(1/4) z^(1/8)] - 987525 I z^6 Log[1 - (-1)^(1/4) z^(1/8)] - 435435 I Log[1 + (-1)^(1/4) z^(1/8)] + 450450 I z Log[1 + (-1)^(1/4) z^(1/8)] + 160875 I z^2 Log[1 + (-1)^(1/4) z^(1/8)] + 181500 I z^3 Log[1 + (-1)^(1/4) z^(1/8)] + 517275 I z^4 Log[1 + (-1)^(1/4) z^(1/8)] - 1862190 I z^5 Log[1 + (-1)^(1/4) z^(1/8)] + 987525 I z^6 Log[1 + (-1)^(1/4) z^(1/8)] + 435435 Log[1 - (-1)^(3/4) z^(1/8)] - 450450 z Log[1 - (-1)^(3/4) z^(1/8)] - 160875 z^2 Log[1 - (-1)^(3/4) z^(1/8)] - 181500 z^3 Log[1 - (-1)^(3/4) z^(1/8)] - 517275 z^4 Log[1 - (-1)^(3/4) z^(1/8)] + 1862190 z^5 Log[1 - (-1)^(3/4) z^(1/8)] - 987525 z^6 Log[1 - (-1)^(3/4) z^(1/8)] - 435435 Log[1 + (-1)^(3/4) z^(1/8)] + 450450 z Log[1 + (-1)^(3/4) z^(1/8)] + 160875 z^2 Log[1 + (-1)^(3/4) z^(1/8)] + 181500 z^3 Log[1 + (-1)^(3/4) z^(1/8)] + 517275 z^4 Log[1 + (-1)^(3/4) z^(1/8)] - 1862190 z^5 Log[1 + (-1)^(3/4) z^(1/8)] + 987525 z^6 Log[1 + (-1)^(3/4) z^(1/8)]))

 Standard Form

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 MathML Form

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 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2007-05-02