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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=-37/8, b>=a > For fixed z and a=-37/8, b=13/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 13/8, 7/2, z] == (1/(107069655 z^(5/2))) (64 ((-Sqrt[z]) (167388 - 683501 z - 2251193 z^2 + 6053041 z^3 - 7542399 z^4 + 5203848 z^5 - 1920048 z^6 + 297024 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((-223184 + 1101971 z - 4593274 z^3 + 9282160 z^4 - 9922881 z^5 + 6126744 z^6 - 2068560 z^7 + 297024 z^8) Sin[(3 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