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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.a8xc.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 21/4, 7/2, -z] == (4 Sqrt[2] (84 - 1183 z + 30058 z^2 + 637729 z^3 + 3221196 z^4 + 7233072 z^5 + 8264960 z^6 + 4716800 z^7 + 1070080 z^8 - (1/Sqrt[1 + z]) (84 - 1141 z + 29456 z^2 + 485267 z^3 + 2153162 z^4 + 4396656 z^5 + 4655200 z^6 + 2492160 z^7 + 535040 z^8)))/ (1341153 z^(5/2) 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