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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=-7/4





http://functions.wolfram.com/07.23.03.aad9.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(7/4), 11/2, -z] == (16 Sqrt[2] (-16 - 252 z - 2065 z^2 - 13214 z^3 - 122727 z^4 + 677996 z^5 - 458543 z^6 + 37650 z^7 + 1495 z^8 + 60 z^9 + (1/Sqrt[1 + z]) (16 + 260 z + 2189 z^2 + 14216 z^3 + 129091 z^4 - 268906 z^5 - 236365 z^6 + 148636 z^7 - 755 z^8 - 30 z^9)))/ (11176275 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