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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=-11/4





http://functions.wolfram.com/07.23.03.a8as.01









  


  








Input Form





Hypergeometric2F1[-(21/4), -(11/4), 11/2, -z] == (16 Sqrt[2] (-112 - 2276 z - 25019 z^2 - 226703 z^3 - 3235687 z^4 + 29576833 z^5 - 41821429 z^6 + 14348299 z^7 - 738485 z^8 - 19865 z^9 - 580 z^10 + (1/Sqrt[1 + z]) (112 + 2332 z + 26143 z^2 + 238935 z^3 + 3346049 z^4 - 16015805 z^5 - 290797 z^6 + 15057397 z^7 - 3788933 z^8 + 10005 z^9 + 290 z^10)))/(383041425 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