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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=-3/8





http://functions.wolfram.com/07.23.03.b507.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(3/8), 9/2, -z] == -((256 (Sqrt[z] (-9776 - 139919 z - 1110187 z^2 - 116437258 z^3 + 73517818 z^4 + 18364653 z^5 + 5984017 z^6 + 1559004 z^7 + 265216 z^8 + 21504 z^9) Cos[ArcTan[Sqrt[z]]/4] - (-39104 - 571896 z - 4612439 z^2 - 42450447 z^3 + 140019562 z^4 + 4185962 z^5 + 1385453 z^6 + 369997 z^7 + 64624 z^8 + 5376 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(27177092415 z^(7/2) (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