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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=1/8, b>=a > For fixed z and a=1/8, b=21/8





http://functions.wolfram.com/07.23.03.bxo1.01









  


  








Input Form





Hypergeometric2F1[1/8, 21/8, -(15/4), z] == (1/(11440 2^(3/4) (-1 + z)^6)) ((1 + Sqrt[1 - z])^(3/4) (4 (1430 - 8437 z + 20787 z^2 - 27716 z^3 - 13547 z^4 + 2139 z^5) + (5720 - 36608 z + 99307 z^2 - 148577 z^3 + 285913 z^4 - 81995 z^5 + 11408 z^6)/Sqrt[1 - z]))








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