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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=-1/8





http://functions.wolfram.com/07.23.03.bld9.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(1/8), 9/2, -z] == -((256 (Sqrt[z] (-240 - 2119 z - 9452 z^2 - 133450 z^3 + 41876 z^4 + 5017 z^5 + 464 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 (-80 - 718 z - 3251 z^2 - 14522 z^3 + 29732 z^4 + 928 z^5 + 87 z^6) Sin[(3 ArcTan[Sqrt[z]])/4]))/(23346015 z^(7/2) (1 + z)^(3/8)))








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