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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=-17/4, b>=a > For fixed z and a=-17/4, b=-15/4





http://functions.wolfram.com/07.23.03.aa8m.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(15/4), 9/2, -z] == (8 Sqrt[2] (-40 - 904 z - 12753 z^2 - 255970 z^3 + 3089229 z^4 - 5868148 z^5 + 2958969 z^6 - 364162 z^7 + 5075 z^8 + (1/Sqrt[1 + z]) (4 (10 + 231 z + 3300 z^2 + 65559 z^3 - 464464 z^4 + 198341 z^5 + 485524 z^6 - 225155 z^7 + 14606 z^8))))/ (17678835 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