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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=-3/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(3/4), 11/2, -z] == (16 Sqrt[2] (-16 - 212 z - 1409 z^2 - 6909 z^3 - 44418 z^4 + 147290 z^5 - 30709 z^6 - 3041 z^7 - 360 z^8 - 24 z^9 + (1/Sqrt[1 + z]) (16 + 220 z + 1513 z^2 + 7588 z^3 + 47709 z^4 - 28072 z^5 - 68109 z^6 + 1564 z^7 + 183 z^8 + 12 z^9)))/(3129357 z^(9/2) 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