html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b5ex.01

 Input Form

 Hypergeometric2F1[-(47/8), 3, 41/8, z] == (1/(5910974510923776 z^(33/8))) (935 (-1)^(1/4) (93314730600 (-1)^(3/4) z^(1/8) - 325564726760 (-1)^(3/4) z^(9/8) + 57086658720 (-1)^(3/4) z^(17/8) + 178286026464 (-1)^(3/4) z^(25/8) - 1465396249296 (-1)^(3/4) z^(33/8) + 3196694699856 (-1)^(3/4) z^(41/8) - 3565468719072 (-1)^(3/4) z^(49/8) + 2241944646240 (-1)^(3/4) z^(57/8) - 760099450968 (-1)^(3/4) z^(65/8) + 108684215640 (-1)^(3/4) z^(73/8) + 137227545 (-1)^(3/4) (-1 + z)^8 (85 + 374 z + 693 z^2) Log[1 - z^(1/8)] + 137227545 (-1)^(1/4) (-1 + z)^8 (85 + 374 z + 693 z^2) Log[1 - I z^(1/8)] - 11664341325 (-1)^(1/4) Log[1 + I z^(1/8)] + 41991628770 (-1)^(1/4) z Log[1 + I z^(1/8)] - 11115431145 (-1)^(1/4) z^2 Log[1 + I z^(1/8)] - 23054227560 (-1)^(1/4) z^3 Log[1 + I z^(1/8)] - 605173473450 (-1)^(1/4) z^4 Log[1 + I z^(1/8)] + 2386112552460 (-1)^(1/4) z^5 Log[1 + I z^(1/8)] - 4109416062570 (-1)^(1/4) z^6 Log[1 + I z^(1/8)] + 3981794445720 (-1)^(1/4) z^7 Log[1 + I z^(1/8)] - 2263842809865 (-1)^(1/4) z^8 Log[1 + I z^(1/8)] + 709466407650 (-1)^(1/4) z^9 Log[1 + I z^(1/8)] - 95098688685 (-1)^(1/4) z^10 Log[1 + I z^(1/8)] - 11664341325 (-1)^(3/4) Log[1 + z^(1/8)] + 41991628770 (-1)^(3/4) z Log[1 + z^(1/8)] - 11115431145 (-1)^(3/4) z^2 Log[1 + z^(1/8)] - 23054227560 (-1)^(3/4) z^3 Log[1 + z^(1/8)] - 605173473450 (-1)^(3/4) z^4 Log[1 + z^(1/8)] + 2386112552460 (-1)^(3/4) z^5 Log[1 + z^(1/8)] - 4109416062570 (-1)^(3/4) z^6 Log[1 + z^(1/8)] + 3981794445720 (-1)^(3/4) z^7 Log[1 + z^(1/8)] - 2263842809865 (-1)^(3/4) z^8 Log[1 + z^(1/8)] + 709466407650 (-1)^(3/4) z^9 Log[1 + z^(1/8)] - 95098688685 (-1)^(3/4) z^10 Log[1 + z^(1/8)] + 11664341325 I Log[1 - (-1)^(1/4) z^(1/8)] - 41991628770 I z Log[1 - (-1)^(1/4) z^(1/8)] + 11115431145 I z^2 Log[1 - (-1)^(1/4) z^(1/8)] + 23054227560 I z^3 Log[1 - (-1)^(1/4) z^(1/8)] + 605173473450 I z^4 Log[1 - (-1)^(1/4) z^(1/8)] - 2386112552460 I z^5 Log[1 - (-1)^(1/4) z^(1/8)] + 4109416062570 I z^6 Log[1 - (-1)^(1/4) z^(1/8)] - 3981794445720 I z^7 Log[1 - (-1)^(1/4) z^(1/8)] + 2263842809865 I z^8 Log[1 - (-1)^(1/4) z^(1/8)] - 709466407650 I z^9 Log[1 - (-1)^(1/4) z^(1/8)] + 95098688685 I z^10 Log[1 - (-1)^(1/4) z^(1/8)] - 11664341325 I Log[1 + (-1)^(1/4) z^(1/8)] + 41991628770 I z Log[1 + (-1)^(1/4) z^(1/8)] - 11115431145 I z^2 Log[1 + (-1)^(1/4) z^(1/8)] - 23054227560 I z^3 Log[1 + (-1)^(1/4) z^(1/8)] - 605173473450 I z^4 Log[1 + (-1)^(1/4) z^(1/8)] + 2386112552460 I z^5 Log[1 + (-1)^(1/4) z^(1/8)] - 4109416062570 I z^6 Log[1 + (-1)^(1/4) z^(1/8)] + 3981794445720 I z^7 Log[1 + (-1)^(1/4) z^(1/8)] - 2263842809865 I z^8 Log[1 + (-1)^(1/4) z^(1/8)] + 709466407650 I z^9 Log[1 + (-1)^(1/4) z^(1/8)] - 95098688685 I z^10 Log[1 + (-1)^(1/4) z^(1/8)] + 11664341325 Log[1 - (-1)^(3/4) z^(1/8)] - 41991628770 z Log[1 - (-1)^(3/4) z^(1/8)] + 11115431145 z^2 Log[1 - (-1)^(3/4) z^(1/8)] + 23054227560 z^3 Log[1 - (-1)^(3/4) z^(1/8)] + 605173473450 z^4 Log[1 - (-1)^(3/4) z^(1/8)] - 2386112552460 z^5 Log[1 - (-1)^(3/4) z^(1/8)] + 4109416062570 z^6 Log[1 - (-1)^(3/4) z^(1/8)] - 3981794445720 z^7 Log[1 - (-1)^(3/4) z^(1/8)] + 2263842809865 z^8 Log[1 - (-1)^(3/4) z^(1/8)] - 709466407650 z^9 Log[1 - (-1)^(3/4) z^(1/8)] + 95098688685 z^10 Log[1 - (-1)^(3/4) z^(1/8)] - 11664341325 Log[1 + (-1)^(3/4) z^(1/8)] + 41991628770 z Log[1 + (-1)^(3/4) z^(1/8)] - 11115431145 z^2 Log[1 + (-1)^(3/4) z^(1/8)] - 23054227560 z^3 Log[1 + (-1)^(3/4) z^(1/8)] - 605173473450 z^4 Log[1 + (-1)^(3/4) z^(1/8)] + 2386112552460 z^5 Log[1 + (-1)^(3/4) z^(1/8)] - 4109416062570 z^6 Log[1 + (-1)^(3/4) z^(1/8)] + 3981794445720 z^7 Log[1 + (-1)^(3/4) z^(1/8)] - 2263842809865 z^8 Log[1 + (-1)^(3/4) z^(1/8)] + 709466407650 z^9 Log[1 + (-1)^(3/4) z^(1/8)] - 95098688685 z^10 Log[1 + (-1)^(3/4) z^(1/8)]))

 Standard Form

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 MathML Form

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

 2007-05-02