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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 45/8, -(9/2), -z] == (1/(37888 (1 + z)^(73/8))) ((37888 + 303104 z + 1012764 z^2 + 1723053 z^3 + 1171716 z^4 - 1367002 z^5 - 2978040 z^6 - 2676939 z^7 - 1354272 z^8 - 376576 z^9 - 45056 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (9472 + 72816 z + 231213 z^2 + 364080 z^3 + 195286 z^4 + 585572 z^5 + 578949 z^6 + 311172 z^7 + 90624 z^8 + 11264 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