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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=1/4





http://functions.wolfram.com/07.23.03.aai4.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 1/4, 11/2, -z] == (16 Sqrt[2] (-16 - 172 z - 877 z^2 - 2991 z^3 - 10718 z^4 + 10718 z^5 + 2991 z^6 + 877 z^7 + 172 z^8 + 16 z^9 + (16 + 180 z + 961 z^2 + 3409 z^3 + 12114 z^4 + 8286 z^5 - 1595 z^6 - 459 z^7 - 88 z^8 - 8 z^9)/Sqrt[1 + z]))/ (447051 z^(9/2) 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