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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 13/4, -(11/2), z] == (1/12672) ((1/(1 - Sqrt[z])^(9/2)) (6336 - 28512 Sqrt[z] + 65808 z - 113184 z^(3/2) + 165320 z^2 - 215874 z^(5/2) + 258813 z^3 - 287832 z^(7/2) + 297576 z^4 - 282960 z^(9/2) + 241296 z^5 - 171072 z^(11/2) + 82368 z^6 - 18304 z^(13/2)) + (1/(1 + Sqrt[z])^(9/2)) (6336 + 28512 Sqrt[z] + 65808 z + 113184 z^(3/2) + 165320 z^2 + 215874 z^(5/2) + 258813 z^3 + 287832 z^(7/2) + 297576 z^4 + 282960 z^(9/2) + 241296 z^5 + 171072 z^(11/2) + 82368 z^6 + 18304 z^(13/2)))








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