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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=-11/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(11/8), 3/2, -z] == (1/156825) (4 (4 (12417 - 89254 z + 63042 z^2 + 5844 z^3 + 965 z^4 + 90 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((13949 - 227780 z + 86 z^2 + 263396 z^3 + 25261 z^4 + 4040 z^5 + 360 z^6) 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