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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=41/8, b>=a > For fixed z and a=41/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[41/8, 45/8, -(7/2), -z] == (1/(1792 (1 + z)^(113/8))) ((1792 + 40016 z + 493167 z^2 + 5163067 z^3 + 89448359 z^4 - 775102757 z^5 + 1193234133 z^6 - 508704567 z^7 + 54327829 z^8 - 669231 z^9) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (224 + 4932 z + 60123 z^2 + 626990 z^3 - 176900867 z^4 + 569087480 z^5 - 456378363 z^6 + 101006710 z^7 - 4444381 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