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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=-13/4, b>=a > For fixed z and a=-13/4, b=9/4





http://functions.wolfram.com/07.23.03.acl3.01









  


  










Input Form





Hypergeometric2F1[-(13/4), 9/4, 9/2, -z] == (1/(14421 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])) (8 Sqrt[2] ((104 + 416 z + 377 z^2 - 325 z^3 - 1113 z^4 - 1199 z^5 - 588 z^6 - 112 z^7)/Sqrt[1 + z] + 2 (-52 - 182 z - 104 z^2 + 195 z^3 + 906 z^4 + 1073 z^5 + 560 z^6 + 112 z^7)))










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