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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=5/8, b>=a > For fixed z and a=5/8, b=41/8





http://functions.wolfram.com/07.23.03.c0el.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, 11/2, z] == (1/(666655 z^(9/2))) (512 ((-1792 - 448 Sqrt[z] - 1072 z - 408 z^(3/2) - 975 z^2 - 408 z^(5/2) - 1072 z^3 - 448 z^(7/2) - 1792 z^4)/(1 + Sqrt[z])^(1/4) + (1792 - 448 Sqrt[z] + 1072 z - 408 z^(3/2) + 975 z^2 - 408 z^(5/2) + 1072 z^3 - 448 z^(7/2) + 1792 z^4)/(1 - Sqrt[z])^(1/4)))








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