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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=17/8, b>=a > For fixed z and a=17/8, b=31/8





http://functions.wolfram.com/07.23.03.c6g5.01









  


  








Input Form





Hypergeometric2F1[17/8, 31/8, -(5/2), z] == (1/(7360 (1 - z)^(17/2))) (2 Sqrt[1 - z] (3680 - 41676 z + 262821 z^2 - 2040100 z^3 - 3721178 z^4 - 334776 z^5 + 13949 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (1840 - 21413 z + 137678 z^2 - 26032486 z^3 - 20288256 z^4 - 683501 z^5 + 27898 z^6) Sin[ArcSin[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