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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b5ju.01

 Input Form

 Hypergeometric2F1[-(47/8), 4, 41/8, z] == (935 (-1)^(1/4) (-93314730600 (-1)^(3/4) z^(1/8) + 26957588840 (-1)^(3/4) z^(9/8) + 67820902240 (-1)^(3/4) z^(17/8) + 313537494816 (-1)^(3/4) z^(25/8) - 4449070748976 (-1)^(3/4) z^(33/8) + 12945667117488 (-1)^(3/4) z^(41/8) - 17919700400160 (-1)^(3/4) z^(49/8) + 13423238194080 (-1)^(3/4) z^(57/8) - 5275612333992 (-1)^(3/4) z^(65/8) + 857397701160 (-1)^(3/4) z^(73/8) + 137227545 (-1)^(3/4) (-1 + z)^7 (85 + 561 z + 2079 z^2 + 5467 z^3) Log[1 - z^(1/8)] + 137227545 (-1)^(1/4) (-1 + z)^7 (85 + 561 z + 2079 z^2 + 5467 z^3) Log[1 - I z^(1/8)] + 11664341325 (-1)^(1/4) Log[1 + I z^(1/8)] - 4665736530 (-1)^(1/4) z Log[1 + I z^(1/8)] - 8645335335 (-1)^(1/4) z^2 Log[1 + I z^(1/8)] - 38423712600 (-1)^(1/4) z^3 Log[1 + I z^(1/8)] - 1546554432150 (-1)^(1/4) z^4 Log[1 + I z^(1/8)] + 8218832125140 (-1)^(1/4) z^5 Log[1 + I z^(1/8)] - 17807469604470 (-1)^(1/4) z^6 Log[1 + I z^(1/8)] + 20793815438760 (-1)^(1/4) z^7 Log[1 + I z^(1/8)] - 13834594949175 (-1)^(1/4) z^8 Log[1 + I z^(1/8)] + 4966264853550 (-1)^(1/4) z^9 Log[1 + I z^(1/8)] - 750222988515 (-1)^(1/4) z^10 Log[1 + I z^(1/8)] + 11664341325 (-1)^(3/4) Log[1 + z^(1/8)] - 4665736530 (-1)^(3/4) z Log[1 + z^(1/8)] - 8645335335 (-1)^(3/4) z^2 Log[1 + z^(1/8)] - 38423712600 (-1)^(3/4) z^3 Log[1 + z^(1/8)] - 1546554432150 (-1)^(3/4) z^4 Log[1 + z^(1/8)] + 8218832125140 (-1)^(3/4) z^5 Log[1 + z^(1/8)] - 17807469604470 (-1)^(3/4) z^6 Log[1 + z^(1/8)] + 20793815438760 (-1)^(3/4) z^7 Log[1 + z^(1/8)] - 13834594949175 (-1)^(3/4) z^8 Log[1 + z^(1/8)] + 4966264853550 (-1)^(3/4) z^9 Log[1 + z^(1/8)] - 750222988515 (-1)^(3/4) z^10 Log[1 + z^(1/8)] - 11664341325 I Log[1 - (-1)^(1/4) z^(1/8)] + 4665736530 I z Log[1 - (-1)^(1/4) z^(1/8)] + 8645335335 I z^2 Log[1 - (-1)^(1/4) z^(1/8)] + 38423712600 I z^3 Log[1 - (-1)^(1/4) z^(1/8)] + 1546554432150 I z^4 Log[1 - (-1)^(1/4) z^(1/8)] - 8218832125140 I z^5 Log[1 - (-1)^(1/4) z^(1/8)] + 17807469604470 I z^6 Log[1 - (-1)^(1/4) z^(1/8)] - 20793815438760 I z^7 Log[1 - (-1)^(1/4) z^(1/8)] + 13834594949175 I z^8 Log[1 - (-1)^(1/4) z^(1/8)] - 4966264853550 I z^9 Log[1 - (-1)^(1/4) z^(1/8)] + 750222988515 I z^10 Log[1 - (-1)^(1/4) z^(1/8)] + 11664341325 I Log[1 + (-1)^(1/4) z^(1/8)] - 4665736530 I z Log[1 + (-1)^(1/4) z^(1/8)] - 8645335335 I z^2 Log[1 + (-1)^(1/4) z^(1/8)] - 38423712600 I z^3 Log[1 + (-1)^(1/4) z^(1/8)] - 1546554432150 I z^4 Log[1 + (-1)^(1/4) z^(1/8)] + 8218832125140 I z^5 Log[1 + (-1)^(1/4) z^(1/8)] - 17807469604470 I z^6 Log[1 + (-1)^(1/4) z^(1/8)] + 20793815438760 I z^7 Log[1 + (-1)^(1/4) z^(1/8)] - 13834594949175 I z^8 Log[1 + (-1)^(1/4) z^(1/8)] + 4966264853550 I z^9 Log[1 + (-1)^(1/4) z^(1/8)] - 750222988515 I z^10 Log[1 + (-1)^(1/4) z^(1/8)] - 11664341325 Log[1 - (-1)^(3/4) z^(1/8)] + 4665736530 z Log[1 - (-1)^(3/4) z^(1/8)] + 8645335335 z^2 Log[1 - (-1)^(3/4) z^(1/8)] + 38423712600 z^3 Log[1 - (-1)^(3/4) z^(1/8)] + 1546554432150 z^4 Log[1 - (-1)^(3/4) z^(1/8)] - 8218832125140 z^5 Log[1 - (-1)^(3/4) z^(1/8)] + 17807469604470 z^6 Log[1 - (-1)^(3/4) z^(1/8)] - 20793815438760 z^7 Log[1 - (-1)^(3/4) z^(1/8)] + 13834594949175 z^8 Log[1 - (-1)^(3/4) z^(1/8)] - 4966264853550 z^9 Log[1 - (-1)^(3/4) z^(1/8)] + 750222988515 z^10 Log[1 - (-1)^(3/4) z^(1/8)] + 11664341325 Log[1 + (-1)^(3/4) z^(1/8)] - 4665736530 z Log[1 + (-1)^(3/4) z^(1/8)] - 8645335335 z^2 Log[1 + (-1)^(3/4) z^(1/8)] - 38423712600 z^3 Log[1 + (-1)^(3/4) z^(1/8)] - 1546554432150 z^4 Log[1 + (-1)^(3/4) z^(1/8)] + 8218832125140 z^5 Log[1 + (-1)^(3/4) z^(1/8)] - 17807469604470 z^6 Log[1 + (-1)^(3/4) z^(1/8)] + 20793815438760 z^7 Log[1 + (-1)^(3/4) z^(1/8)] - 13834594949175 z^8 Log[1 + (-1)^(3/4) z^(1/8)] + 4966264853550 z^9 Log[1 + (-1)^(3/4) z^(1/8)] - 750222988515 z^10 Log[1 + (-1)^(3/4) z^(1/8)]))/ (15762598695796736 z^(33/8))

 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