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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=-39/8, b>=a > For fixed z and a=-39/8, b=-3/8





http://functions.wolfram.com/07.23.03.ba0b.01









  


  










Input Form





Hypergeometric2F1[-(39/8), -(3/8), 11/2, -z] == -((1024 (Sqrt[z] (-448 - 5752 z - 36741 z^2 - 171229 z^3 - 9880706 z^4 + 4338894 z^5 + 729031 z^6 + 154007 z^7 + 23568 z^8 + 1792 z^9) Cos[ArcTan[Sqrt[z]]/4] + (1792 + 23568 z + 154007 z^2 + 729031 z^3 + 4338894 z^4 - 9880706 z^5 - 171229 z^6 - 36741 z^7 - 5752 z^8 - 448 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(9059030805 z^(9/2) (1 + z)^(1/8)))










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