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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=-21/4, b>=a > For fixed z and a=-21/4, b=17/4





http://functions.wolfram.com/07.23.03.a8u6.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 17/4, 9/2, -z] == (8 Sqrt[2] (2 (-68 + 170 z - 782 z^2 + 9877 z^3 + 129904 z^4 + 438223 z^5 + 701008 z^6 + 598576 z^7 + 264704 z^8 + 47872 z^9) - (1/Sqrt[1 + z]) (-136 + 272 z - 1377 z^2 + 18921 z^3 + 186085 z^4 + 556715 z^5 + 821304 z^6 + 658768 z^7 + 276672 z^8 + 47872 z^9)))/ (1341153 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