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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=-15/4, b>=a > For fixed z and a=-15/4, b=7/4





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









  


  










Input Form





Hypergeometric2F1[-(15/4), 7/4, 7/2, -z] == (1/(3315 z^(5/2) Sqrt[-1 + Sqrt[1 + z]])) (4 Sqrt[2] (44 + 143 z - 165 z^2 - 459 z^3 - 487 z^4 - 244 z^5 - 48 z^6 + (-44 - 165 z + 99 z^2 + 971 z^3 + 1621 z^4 + 1334 z^5 + 560 z^6 + 96 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