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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 4 and fixed z > For fixed z and a=-9/4, b>=a > For fixed z and a=-9/4, b=-7/4





http://functions.wolfram.com/07.23.03.ae2e.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(7/4), 9/2, -z] == (8 Sqrt[2] (-40 - 488 z - 3309 z^2 - 26796 z^3 + 111714 z^4 - 45844 z^5 + 1547 z^6 + (4 (10 + 127 z + 887 z^2 + 7098 z^3 - 8076 z^4 - 11593 z^5 + 2811 z^6))/Sqrt[1 + z]))/(1062347 z^(7/2) Sqrt[-1 + 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