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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=-11/8, b>=a > For fixed z and a=-11/8, b=41/8





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









  


  








Input Form





Hypergeometric2F1[-(11/8), 41/8, -(7/2), z] == (1/89600) ((1/(1 - Sqrt[z])^(29/4)) (44800 - 324800 Sqrt[z] + 1105200 z - 2430200 z^(3/2) + 3972295 z^2 - 5103420 z^(5/2) + 5157600 z^3 - 3897600 z^(7/2) + 2016000 z^4 - 623616 z^(9/2) + 86016 z^5) + (1/(1 + Sqrt[z])^(29/4)) (44800 + 324800 Sqrt[z] + 1105200 z + 2430200 z^(3/2) + 3972295 z^2 + 5103420 z^(5/2) + 5157600 z^3 + 3897600 z^(7/2) + 2016000 z^4 + 623616 z^(9/2) + 86016 z^5))








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