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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=-25/8





http://functions.wolfram.com/07.23.03.b9rx.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(25/8), 5/2, z] == (1/(202504071 z^(3/2))) (16 ((-Sqrt[z]) (3565 - 12866171 z - 80858732 z^2 - 99293958 z^3 - 25702523 z^4 - 445295 z^5 + 10730 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (2 (-7130 + 424235 z + 6387578 z^2 + 7408231 z^3 - 8461038 z^4 - 5531911 z^5 - 225330 z^6 + 5365 z^7) Sin[ArcSin[Sqrt[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