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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 8 and fixed z and a<0 > For fixed z and a=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





http://functions.wolfram.com/07.23.03.bjf2.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 35/8, 11/2, z] == (1/(28275892359 z^(9/2))) (512 ((1 + Sqrt[z])^(17/4) (761600 - 3236800 Sqrt[z] + 8289200 z - 16819800 z^(3/2) + 29529255 z^2 - 47095440 z^(5/2) + 69629280 z^3 - 97104000 z^(7/2) + 125664000 z^4 - 122845184 z^(9/2) + 69701632 z^5 - 16400384 z^(11/2)) - (1 - Sqrt[z])^(17/4) (761600 + 3236800 Sqrt[z] + 8289200 z + 16819800 z^(3/2) + 29529255 z^2 + 47095440 z^(5/2) + 69629280 z^3 + 97104000 z^(7/2) + 125664000 z^4 + 122845184 z^(9/2) + 69701632 z^5 + 16400384 z^(11/2))))








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