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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b6xp.01

 Input Form

 Hypergeometric2F1[-(45/8), 3, 27/8, -z] == -((1/(15393162788864 z^(19/8))) (209 (-1)^(1/8) (-386666280 (-1)^(7/8) z^(3/8) + 1511513640 (-1)^(7/8) z^(11/8) + 51881742136 (-1)^(7/8) z^(19/8) + 195206485320 (-1)^(7/8) z^(27/8) + 324396657288 (-1)^(7/8) z^(35/8) + 281572496760 (-1)^(7/8) z^(43/8) + 125396145000 (-1)^(7/8) z^(51/8) + 22728946968 (-1)^(7/8) z^(59/8) - 4393935 I (1 + z)^6 (33 - 318 z + 3233 z^2) Log[1 - (-1)^(1/8) z^(1/8)] + 4393935 I (1 + z)^6 (33 - 318 z + 3233 z^2) Log[1 + (-1)^(1/8) z^(1/8)] + 144999855 (-1)^(3/4) Log[1 - (-1)^(3/8) z^(1/8)] - 527272200 (-1)^(3/4) z Log[1 - (-1)^(3/8) z^(1/8)] + 7996961700 (-1)^(3/4) z^2 Log[1 - (-1)^(3/8) z^(1/8)] + 67174478280 (-1)^(3/4) z^3 Log[1 - (-1)^(3/8) z^(1/8)] + 187313449050 (-1)^(3/4) z^4 Log[1 - (-1)^(3/8) z^(1/8)] + 264022766280 (-1)^(3/4) z^5 Log[1 - (-1)^(3/8) z^(1/8)] + 204845249700 (-1)^(3/4) z^6 Log[1 - (-1)^(3/8) z^(1/8)] + 83836279800 (-1)^(3/4) z^7 Log[1 - (-1)^(3/8) z^(1/8)] + 14205591855 (-1)^(3/4) z^8 Log[1 - (-1)^(3/8) z^(1/8)] - 144999855 (-1)^(3/4) Log[1 + (-1)^(3/8) z^(1/8)] + 527272200 (-1)^(3/4) z Log[1 + (-1)^(3/8) z^(1/8)] - 7996961700 (-1)^(3/4) z^2 Log[1 + (-1)^(3/8) z^(1/8)] - 67174478280 (-1)^(3/4) z^3 Log[1 + (-1)^(3/8) z^(1/8)] - 187313449050 (-1)^(3/4) z^4 Log[1 + (-1)^(3/8) z^(1/8)] - 264022766280 (-1)^(3/4) z^5 Log[1 + (-1)^(3/8) z^(1/8)] - 204845249700 (-1)^(3/4) z^6 Log[1 + (-1)^(3/8) z^(1/8)] - 83836279800 (-1)^(3/4) z^7 Log[1 + (-1)^(3/8) z^(1/8)] - 14205591855 (-1)^(3/4) z^8 Log[1 + (-1)^(3/8) z^(1/8)] + 144999855 Log[1 - (-1)^(5/8) z^(1/8)] - 527272200 z Log[1 - (-1)^(5/8) z^(1/8)] + 7996961700 z^2 Log[1 - (-1)^(5/8) z^(1/8)] + 67174478280 z^3 Log[1 - (-1)^(5/8) z^(1/8)] + 187313449050 z^4 Log[1 - (-1)^(5/8) z^(1/8)] + 264022766280 z^5 Log[1 - (-1)^(5/8) z^(1/8)] + 204845249700 z^6 Log[1 - (-1)^(5/8) z^(1/8)] + 83836279800 z^7 Log[1 - (-1)^(5/8) z^(1/8)] + 14205591855 z^8 Log[1 - (-1)^(5/8) z^(1/8)] - 144999855 Log[1 + (-1)^(5/8) z^(1/8)] + 527272200 z Log[1 + (-1)^(5/8) z^(1/8)] - 7996961700 z^2 Log[1 + (-1)^(5/8) z^(1/8)] - 67174478280 z^3 Log[1 + (-1)^(5/8) z^(1/8)] - 187313449050 z^4 Log[1 + (-1)^(5/8) z^(1/8)] - 264022766280 z^5 Log[1 + (-1)^(5/8) z^(1/8)] - 204845249700 z^6 Log[1 + (-1)^(5/8) z^(1/8)] - 83836279800 z^7 Log[1 + (-1)^(5/8) z^(1/8)] - 14205591855 z^8 Log[1 + (-1)^(5/8) z^(1/8)] - 144999855 (-1)^(1/4) Log[1 - (-1)^(7/8) z^(1/8)] + 527272200 (-1)^(1/4) z Log[1 - (-1)^(7/8) z^(1/8)] - 7996961700 (-1)^(1/4) z^2 Log[1 - (-1)^(7/8) z^(1/8)] - 67174478280 (-1)^(1/4) z^3 Log[1 - (-1)^(7/8) z^(1/8)] - 187313449050 (-1)^(1/4) z^4 Log[1 - (-1)^(7/8) z^(1/8)] - 264022766280 (-1)^(1/4) z^5 Log[1 - (-1)^(7/8) z^(1/8)] - 204845249700 (-1)^(1/4) z^6 Log[1 - (-1)^(7/8) z^(1/8)] - 83836279800 (-1)^(1/4) z^7 Log[1 - (-1)^(7/8) z^(1/8)] - 14205591855 (-1)^(1/4) z^8 Log[1 - (-1)^(7/8) z^(1/8)] + 144999855 (-1)^(1/4) Log[1 + (-1)^(7/8) z^(1/8)] - 527272200 (-1)^(1/4) z Log[1 + (-1)^(7/8) z^(1/8)] + 7996961700 (-1)^(1/4) z^2 Log[1 + (-1)^(7/8) z^(1/8)] + 67174478280 (-1)^(1/4) z^3 Log[1 + (-1)^(7/8) z^(1/8)] + 187313449050 (-1)^(1/4) z^4 Log[1 + (-1)^(7/8) z^(1/8)] + 264022766280 (-1)^(1/4) z^5 Log[1 + (-1)^(7/8) z^(1/8)] + 204845249700 (-1)^(1/4) z^6 Log[1 + (-1)^(7/8) z^(1/8)] + 83836279800 (-1)^(1/4) z^7 Log[1 + (-1)^(7/8) z^(1/8)] + 14205591855 (-1)^(1/4) z^8 Log[1 + (-1)^(7/8) 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