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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b5jp.01

 Input Form

 Hypergeometric2F1[-(47/8), 4, 25/8, -z] == -((1/(87960930222080 z^(17/8))) (51 (-1)^(1/8) (-1097820360 (-1)^(7/8) z^(1/8) + 14759584840 (-1)^(7/8) z^(9/8) + 544705957400 (-1)^(7/8) z^(17/8) + 2665143366376 (-1)^(7/8) z^(25/8) + 5490935850920 (-1)^(7/8) z^(33/8) + 5699958315480 (-1)^(7/8) z^(41/8) + 2957475772680 (-1)^(7/8) z^(49/8) + 612426929400 (-1)^(7/8) z^(57/8) - 45742515 (-1)^(3/4) (1 + z)^5 (3 - 55 z + 3465 z^2 + 11715 z^3) Log[1 - (-1)^(1/8) z^(1/8)] + 45742515 (-1)^(3/4) (1 + z)^5 (3 - 55 z + 3465 z^2 + 11715 z^3) Log[1 + (-1)^(1/8) z^(1/8)] - 137227545 I Log[1 - (-1)^(3/8) z^(1/8)] + 1829700600 I z Log[1 - (-1)^(3/8) z^(1/8)] - 147290898300 I z^2 Log[1 - (-1)^(3/8) z^(1/8)] - 1304576527800 I z^3 Log[1 - (-1)^(3/8) z^(1/8)] - 4239873715350 I z^4 Log[1 - (-1)^(3/8) z^(1/8)] - 6931271812920 I z^5 Log[1 - (-1)^(3/8) z^(1/8)] - 6148708866300 I z^6 Log[1 - (-1)^(3/8) z^(1/8)] - 2837865630600 I z^7 Log[1 - (-1)^(3/8) z^(1/8)] - 535873563225 I z^8 Log[1 - (-1)^(3/8) z^(1/8)] + 137227545 I Log[1 + (-1)^(3/8) z^(1/8)] - 1829700600 I z Log[1 + (-1)^(3/8) z^(1/8)] + 147290898300 I z^2 Log[1 + (-1)^(3/8) z^(1/8)] + 1304576527800 I z^3 Log[1 + (-1)^(3/8) z^(1/8)] + 4239873715350 I z^4 Log[1 + (-1)^(3/8) z^(1/8)] + 6931271812920 I z^5 Log[1 + (-1)^(3/8) z^(1/8)] + 6148708866300 I z^6 Log[1 + (-1)^(3/8) z^(1/8)] + 2837865630600 I z^7 Log[1 + (-1)^(3/8) z^(1/8)] + 535873563225 I z^8 Log[1 + (-1)^(3/8) z^(1/8)] - 137227545 (-1)^(1/4) Log[1 - (-1)^(5/8) z^(1/8)] + 1829700600 (-1)^(1/4) z Log[1 - (-1)^(5/8) z^(1/8)] - 147290898300 (-1)^(1/4) z^2 Log[1 - (-1)^(5/8) z^(1/8)] - 1304576527800 (-1)^(1/4) z^3 Log[1 - (-1)^(5/8) z^(1/8)] - 4239873715350 (-1)^(1/4) z^4 Log[1 - (-1)^(5/8) z^(1/8)] - 6931271812920 (-1)^(1/4) z^5 Log[1 - (-1)^(5/8) z^(1/8)] - 6148708866300 (-1)^(1/4) z^6 Log[1 - (-1)^(5/8) z^(1/8)] - 2837865630600 (-1)^(1/4) z^7 Log[1 - (-1)^(5/8) z^(1/8)] - 535873563225 (-1)^(1/4) z^8 Log[1 - (-1)^(5/8) z^(1/8)] + 137227545 (-1)^(1/4) Log[1 + (-1)^(5/8) z^(1/8)] - 1829700600 (-1)^(1/4) z Log[1 + (-1)^(5/8) z^(1/8)] + 147290898300 (-1)^(1/4) z^2 Log[1 + (-1)^(5/8) z^(1/8)] + 1304576527800 (-1)^(1/4) z^3 Log[1 + (-1)^(5/8) z^(1/8)] + 4239873715350 (-1)^(1/4) z^4 Log[1 + (-1)^(5/8) z^(1/8)] + 6931271812920 (-1)^(1/4) z^5 Log[1 + (-1)^(5/8) z^(1/8)] + 6148708866300 (-1)^(1/4) z^6 Log[1 + (-1)^(5/8) z^(1/8)] + 2837865630600 (-1)^(1/4) z^7 Log[1 + (-1)^(5/8) z^(1/8)] + 535873563225 (-1)^(1/4) z^8 Log[1 + (-1)^(5/8) z^(1/8)] - 137227545 Log[1 - (-1)^(7/8) z^(1/8)] + 1829700600 z Log[1 - (-1)^(7/8) z^(1/8)] - 147290898300 z^2 Log[1 - (-1)^(7/8) z^(1/8)] - 1304576527800 z^3 Log[1 - (-1)^(7/8) z^(1/8)] - 4239873715350 z^4 Log[1 - (-1)^(7/8) z^(1/8)] - 6931271812920 z^5 Log[1 - (-1)^(7/8) z^(1/8)] - 6148708866300 z^6 Log[1 - (-1)^(7/8) z^(1/8)] - 2837865630600 z^7 Log[1 - (-1)^(7/8) z^(1/8)] - 535873563225 z^8 Log[1 - (-1)^(7/8) z^(1/8)] + 137227545 Log[1 + (-1)^(7/8) z^(1/8)] - 1829700600 z Log[1 + (-1)^(7/8) z^(1/8)] + 147290898300 z^2 Log[1 + (-1)^(7/8) z^(1/8)] + 1304576527800 z^3 Log[1 + (-1)^(7/8) z^(1/8)] + 4239873715350 z^4 Log[1 + (-1)^(7/8) z^(1/8)] + 6931271812920 z^5 Log[1 + (-1)^(7/8) z^(1/8)] + 6148708866300 z^6 Log[1 + (-1)^(7/8) z^(1/8)] + 2837865630600 z^7 Log[1 + (-1)^(7/8) z^(1/8)] + 535873563225 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