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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=-23/8, b>=a > For fixed z and a=-23/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 45/8, -(9/2), -z] == (1/(7691264 (1 + z)^(57/8))) ((-(-7691264 - 26919424 z - 19249620 z^2 + 10754679 z^3 - 17282811 z^4 + 92077349 z^5 + 521454219 z^6 + 870492000 z^7 + 703186176 z^8 + 285249536 z^9 + 46858240 z^10)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1922816 + 6128976 z + 3054831 z^2 - 3222219 z^3 + 5370365 z^4 + 86185879 z^5 + 174044784 z^6 + 155616384 z^7 + 67651584 z^8 + 11714560 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