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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=-7/8, b>=a > For fixed z and a=-7/8, b=37/8





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









  


  










Input Form





Hypergeometric2F1[-(7/8), 37/8, -(11/2), -z] == (1/(45056 (1 + z)^(73/8))) ((45056 + 376576 z + 1354272 z^2 + 2676939 z^3 + 2978040 z^4 + 1367002 z^5 - 1171716 z^6 - 1723053 z^7 - 1012764 z^8 - 303104 z^9 - 37888 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (11264 + 90624 z + 311172 z^2 + 578949 z^3 + 585572 z^4 + 195286 z^5 + 364080 z^6 + 231213 z^7 + 72816 z^8 + 9472 z^9) Sin[ArcTan[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