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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=-15/4, b>=a > For fixed z and a=-15/4, b=15/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 15/4, 11/2, -z] == (16 Sqrt[2] (560 + 1060 z - 257 z^2 + 551 z^3 - 3575 z^4 - 15323 z^5 - 20184 z^6 - 11568 z^7 - 2496 z^8 + (1/Sqrt[1 + z]) (-560 - 1340 z - 203 z^2 - 325 z^3 + 3223 z^4 + 28237 z^5 + 59632 z^6 + 57408 z^7 + 26880 z^8 + 4992 z^9)))/ (352495 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