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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=-45/8, b>=a > For fixed z and a=-45/8, b=45/8





http://functions.wolfram.com/07.23.03.b79w.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 45/8, -(3/2), z] == -((1/(16 (1 - z)^(3/2))) (Sqrt[1 - z] (-16 - 317 z - 9912 z^2 + 248024 z^3 - 1327616 z^4 + 2846976 z^5 - 2680832 z^6 + 923648 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-3 - 59 z - 16611 z^2 + 171858 z^3 - 618432 z^4 + 1017984 z^5 - 785664 z^6 + 230912 z^7) 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