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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=13/8





http://functions.wolfram.com/07.23.03.b6q6.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 13/8, -(3/2), z] == (1/16) ((16 + 93 z + 1155 z^2 - 14144 z^3 + 36192 z^4 - 34944 z^5 + 11648 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + (4 Sqrt[z] (3 + 17 z + 1358 z^2 - 7150 z^3 + 13052 z^4 - 10192 z^5 + 2912 z^6) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[1 - z])










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