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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=9/8





http://functions.wolfram.com/07.23.03.b7t8.01









  


  










Input Form





Hypergeometric2F1[-(43/8), 9/8, 21/4, z] == (16 2^(1/4) (-4 (191178 - 1757367 z + 7100547 z^2 - 16076109 z^3 - 9036860 z^4 + 9098315 z^5 - 5947705 z^6 + 2483105 z^7 - 603840 z^8 + 65280 z^9) + (1/Sqrt[1 - z]) (764712 - 7411824 z + 31821333 z^2 - 77674641 z^3 + 167398490 z^4 - 238218450 z^5 + 208095385 z^6 - 121726205 z^7 + 46286240 z^8 - 10379520 z^9 + 1044480 z^10)))/ (2792552245 (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