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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=33/8, b>=a > For fixed z and a=33/8, b=37/8





http://functions.wolfram.com/07.23.03.cc1x.01









  


  








Input Form





Hypergeometric2F1[33/8, 37/8, -(5/2), -z] == (1/(320 (1 + z)^(89/8))) ((320 + 5992 z + 68475 z^2 + 1086195 z^3 - 7329234 z^4 + 7260110 z^5 - 1445337 z^6 + 29415 z^7) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (80 + 1473 z + 16665 z^2 - 3868854 z^3 + 8883490 z^4 - 4012315 z^5 + 307557 z^6) 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