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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=-27/8, b>=a > For fixed z and a=-27/8, b=9/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), 9/8, -(11/2), z] == (1/630784) ((1/(1 - Sqrt[z])^(13/4)) (315392 - 1025024 Sqrt[z] + 1370880 z - 1188096 z^(3/2) + 948192 z^2 - 723996 z^(5/2) + 518415 z^3 - 344760 z^(7/2) + 203184 z^4 - 99008 z^(9/2) + 30464 z^5) + (1/(1 + Sqrt[z])^(13/4)) (315392 + 1025024 Sqrt[z] + 1370880 z + 1188096 z^(3/2) + 948192 z^2 + 723996 z^(5/2) + 518415 z^3 + 344760 z^(7/2) + 203184 z^4 + 99008 z^(9/2) + 30464 z^5))








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