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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=-39/8, b>=a > For fixed z and a=-39/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, 11/2, -z] == (1024 (2 Sqrt[z] (159712 - 88412 z + 130479 z^2 - 390724 z^3 + 131873499 z^4 + 568070874 z^5 + 997070976 z^6 + 889692672 z^7 + 402259968 z^8 + 73531392 z^9) Cos[ArcTan[Sqrt[z]]/4] - (1277696 - 308016 z + 717991 z^2 - 2687297 z^3 + 27642297 z^4 + 186643857 z^5 + 391092768 z^6 + 388599552 z^7 + 189640704 z^8 + 36765696 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(262711893345 z^(9/2) (1 + 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