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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=-1/4, b>=a > For fixed z and a=-1/4, b=17/4





http://functions.wolfram.com/07.23.03.ahr0.01









  


  








Input Form





Hypergeometric2F1[-(1/4), 17/4, -(9/2), -z] == (1/(288 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((144 + 1172 z + 4141 z^2 + 8196 z^3 + 9502 z^4 - 6800 z^5 - 3723 z^6 - 1088 z^7 - 136 z^8)/(1 + z)^(17/2) + (144 + 1100 z + 3609 z^2 + 6520 z^3 + 6630 z^4 + 12104 z^5 + 6953 z^6 + 2108 z^7 + 272 z^8)/(1 + z)^8))








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