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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=5/4





http://functions.wolfram.com/07.23.03.a8kc.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 5/4, 3/2, -z] == (1/(4807 Sqrt[z] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[2] (663 + 7003 z + 21641 z^2 + 33021 z^3 + 27368 z^4 + 11856 z^5 + 2112 z^6 + (-663 - 4931 z - 13643 z^2 - 19273 z^3 - 15034 z^4 - 6192 z^5 - 1056 z^6)/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