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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.btxn.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 45/8, -(11/2), -z] == (1/(45056 (1 + z)^(81/8))) ((45056 + 414464 z + 1657376 z^2 + 3689703 z^3 + 4701093 z^4 + 2538718 z^5 - 2538718 z^6 - 4701093 z^7 - 3689703 z^8 - 1657376 z^9 - 414464 z^10 - 45056 z^11) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (5632 + 50048 z + 191994 z^2 + 405081 z^3 + 474826 z^4 + 195286 z^5 + 474826 z^6 + 405081 z^7 + 191994 z^8 + 50048 z^9 + 5632 z^10) 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