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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=-19/4, b>=a > For fixed z and a=-19/4, b=-17/4





http://functions.wolfram.com/07.23.03.a91p.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(17/4), 5/2, -z] == (1/(4025 z^(3/2) Sqrt[-1 + Sqrt[1 + z]])) (2 Sqrt[2] (2 (-1 - 72 z + 2035 z^2 - 8184 z^3 + 8613 z^4 - 2464 z^5 + 137 z^6) + (2 + 145 z - 2992 z^2 + 6567 z^3 + 2442 z^4 - 6017 z^5 + 1220 z^6 - 23 z^7)/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