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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=15/4





http://functions.wolfram.com/07.23.03.am9f.01









  


  










Input Form





Hypergeometric2F1[13/4, 15/4, -(9/2), -z] == (1/(672 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^11) (336 + 4564 z + 30557 z^2 + 141273 z^3 + 579282 z^4 - 16460762 z^5 + 12000561 z^6 - 1172771 z^7) + (1/(1 + z)^(23/2)) (336 + 4732 z + 32797 z^2 + 156002 z^3 + 646371 z^4 + 24511112 z^5 - 29948717 z^6 + 6133882 z^7 - 121923 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