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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=-45/8, b>=a > For fixed z and a=-45/8, b=-17/8





http://functions.wolfram.com/07.23.03.b6dp.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(17/8), 3/2, -z] == -((1/(110495 Sqrt[z] (1 + z)^(3/8))) (4 (2 Sqrt[z] (-15019 + 147648 z - 213714 z^2 + 35052 z^3 + 3525 z^4 + 444 z^5 + 32 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] - (-3219 + 123927 z - 443750 z^2 + 250326 z^3 + 5193 z^4 + 659 z^5 + 48 z^6) Sin[(3 ArcTan[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