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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=-47/8, b>=a > For fixed z and a=-47/8, b=39/8





http://functions.wolfram.com/07.23.03.b5nc.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, -(9/2), z] == (1/(21504 (1 - z)^(7/2))) (Sqrt[1 - z] (21504 + 71680 z + 211420 z^2 + 690701 z^3 + 3057043 z^4 + 32745284 z^5 - 305022960 z^6 + 669335040 z^7 - 576398592 z^8 + 175279104 z^9) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (5376 + 16240 z + 46541 z^2 + 153362 z^3 + 701613 z^4 + 130767956 z^5 - 578595600 z^6 + 935624448 z^7 - 664038144 z^8 + 175279104 z^9) Sin[ArcSin[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