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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.bcao.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) Cosh[(3 ArcSinh[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) Sinh[(3 ArcSinh[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