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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=-15/4





http://functions.wolfram.com/07.23.03.a88i.01









  


  








Input Form





Hypergeometric2F1[-(21/4), -(15/4), 9/2, -z] == (8 Sqrt[2] (-24 - 612 z - 9908 z^2 - 233506 z^3 + 3362216 z^4 - 7964814 z^5 + 5340972 z^6 - 980942 z^7 + 26680 z^8 + 290 z^9 + (1/Sqrt[1 + z]) (24 + 624 z + 10211 z^2 + 238385 z^3 - 2141737 z^4 + 1835405 z^5 + 2252601 z^6 - 1753181 z^7 + 199989 z^8 - 145 z^9)))/ (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