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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=-23/4, b>=a > For fixed z and a=-23/4, b=15/4





http://functions.wolfram.com/07.23.03.9913.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 15/4, 5/2, -z] == (2 Sqrt[2] (874 - 28405 z - 498676 z^2 - 2228109 z^3 - 4492344 z^4 - 4658160 z^5 - 2433600 z^6 - 509184 z^7 + (1/Sqrt[1 + z]) (2 (-437 + 13984 z + 340612 z^2 + 1993984 z^3 + 5372337 z^4 + 7849776 z^5 + 6451536 z^6 + 2815488 z^7 + 509184 z^8))))/ (672945 z^(3/2) 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