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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=-21/8, b>=a > For fixed z and a=-21/8, b=21/8





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









  


  










Input Form





Hypergeometric2F1[-(21/8), 21/8, -(7/2), z] == (1/(1280 (-1 + z)^3)) ((-1280 + 1680 z + 483 z^2 + 455 z^3 + 1062 z^4 - 3312 z^5 + 1632 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + (2 Sqrt[z] (-480 + 700 z + 133 z^2 + 118 z^3 + 1257 z^4 - 2064 z^5 + 816 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