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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-43/8, b>=a > For fixed z and a=-43/8, b=25/8





http://functions.wolfram.com/07.23.03.b817.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, 21/4, z] == (16 2^(1/4) (-4 (318630 - 1041675 z + 196080 z^2 + 446082 z^3 - 7446642 z^4 + 18816337 z^5 - 22795084 z^6 + 15187040 z^7 - 5384704 z^8 + 798720 z^9) + (1/Sqrt[1 - z]) (1274520 - 4803960 z + 2708355 z^2 + 1833348 z^3 + 74154570 z^4 - 303934852 z^5 + 534970419 z^6 - 525216800 z^7 + 301176064 z^8 - 94941184 z^9 + 12779520 z^10)))/(1675531347 (1 + Sqrt[1 - z])^(1/4) z^4)








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