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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=-17/4, b>=a > For fixed z and a=-17/4, b=21/4





http://functions.wolfram.com/07.23.03.aax7.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, -(7/2), -z] == (1/(16 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((8 - 16 z + 43 z^2 - 174 z^3 - 12137 z^4 - 42328 z^5 - 57904 z^6 - 35904 z^7 - 8448 z^8)/(1 + z)^(9/2) + (2 (4 - 10 z + 27 z^2 - 102 z^3 + 7957 z^4 + 33264 z^5 + 50512 z^6 + 33792 z^7 + 8448 z^8))/(1 + z)^4))








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