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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=25/8, b>=a > For fixed z and a=25/8, b=45/8





http://functions.wolfram.com/07.23.03.c9wq.01









  


  








Input Form





Hypergeometric2F1[25/8, 45/8, -(9/2), -z] == (1/(7168 (1 + z)^(105/8))) ((7168 + 121856 z + 1043508 z^2 + 6317067 z^3 + 34625994 z^4 + 310672505 z^5 - 1232207184 z^6 + 697680813 z^7 - 53169918 z^8 - 1606801 z^9 - 51728 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1792 + 29904 z + 251679 z^2 + 1502994 z^3 + 8206237 z^4 - 843813568 z^5 + 1144809609 z^6 - 267002886 z^7 + 397659 z^8 + 12932 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