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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=29/8





http://functions.wolfram.com/07.23.03.c9k1.01









  


  








Input Form





Hypergeometric2F1[25/8, 29/8, -(7/2), -z] == (1/(1792 (1 + z)^(81/8))) ((1792 + 23888 z + 162927 z^2 + 853341 z^3 + 6435534 z^4 - 18307262 z^5 + 6014787 z^6 - 170607 z^7) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (224 + 2916 z + 19473 z^2 + 100812 z^3 - 7553642 z^4 + 6704216 z^5 - 765951 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