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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 45/8, -(7/2), z] == (1/(1792 (1 - z)^(9/2))) ((-Sqrt[1 - z]) (-1792 - 5648 z - 19575 z^2 - 94806 z^3 - 1157751 z^4 + 15197796 z^5 - 45773520 z^6 + 59861760 z^7 - 36622080 z^8 + 8616960 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (1344 + 4040 z + 13941 z^2 + 68490 z^3 + 5581389 z^4 - 32554116 z^5 + 71665200 z^6 - 77095680 z^7 + 40930560 z^8 - 8616960 z^9) 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