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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=45/8





http://functions.wolfram.com/07.23.03.b5qx.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 45/8, -(7/2), -z] == (1/(1922816 (1 + z)^(25/8))) ((1922816 - 12206448 z + 67340407 z^2 - 463790301 z^3 + 7523421048 z^4 + 99691250880 z^5 + 333568794624 z^6 + 486309888000 z^7 + 329714761728 z^8 + 85349892096 z^9) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-480704 + 3201832 z - 17875107 z^2 + 121816617 z^3 + 12474342192 z^4 + 57559087872 z^5 + 99652583424 z^6 + 75760730112 z^7 + 21337473024 z^8) 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