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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=21/8





http://functions.wolfram.com/07.23.03.b6uw.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 21/8, -(1/2), z] == (1/44) ((44 + 1287 z - 27435 z^2 + 122744 z^3 - 220752 z^4 + 176064 z^5 - 51968 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (Sqrt[z] (-33 - 8002 z + 70187 z^2 - 214360 z^3 + 302288 z^4 - 202048 z^5 + 51968 z^6) 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