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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=-11/8





http://functions.wolfram.com/07.23.03.b9x3.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(11/8), 11/2, -z] == (1024 (4 Sqrt[z] (112 + 1738 z + 14019 z^2 + 88441 z^3 + 10268984 z^4 - 14181516 z^5 + 2115611 z^6 + 149977 z^7 + 13818 z^8 + 752 z^9) Cos[ArcTan[Sqrt[z]]/4] - (1792 + 28368 z + 232847 z^2 + 1482946 z^3 + 13530369 z^4 - 62267876 z^5 + 31024001 z^6 + 145794 z^7 + 13583 z^8 + 752 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(38706767985 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