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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=9/8, b>=a > For fixed z and a=9/8, b=23/8





http://functions.wolfram.com/07.23.03.c2cm.01









  


  








Input Form





Hypergeometric2F1[9/8, 23/8, -(5/2), z] == (1/(320 (1 - z)^(13/2))) (2 Sqrt[1 - z] (160 - 1172 z + 4245 z^2 - 15605 z^3 - 4901 z^4 + 377 z^5) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (80 - 611 z + 2295 z^2 - 127507 z^3 - 10179 z^4 + 754 z^5) 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