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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=21/4





http://functions.wolfram.com/07.23.03.a8xh.01









  


  










Input Form





Hypergeometric2F1[-(21/4), 21/4, 9/2, -z] == (8 Sqrt[2] (-24 + 144 z - 1025 z^2 + 17486 z^3 + 284819 z^4 + 1157244 z^5 + 2169552 z^6 + 2126080 z^7 + 1061632 z^8 + 214016 z^9 - (1/Sqrt[1 + z]) (2 (-12 + 66 z - 475 z^2 + 8477 z^3 + 104939 z^4 + 376277 z^5 + 646272 z^6 + 591184 z^7 + 278784 z^8 + 53504 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