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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=-39/8, b>=a > For fixed z and a=-39/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 39/8, -(3/2), z] == (1/(16 (1 - z)^(3/2))) (Sqrt[1 - z] (16 + 237 z + 5510 z^2 - 89008 z^3 + 306720 z^4 - 384768 z^5 + 161280 z^6) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (2 + 29 z + 14711 z^2 - 102176 z^3 + 239472 z^4 - 232704 z^5 + 80640 z^6) Sin[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