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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=1/8, b>=a > For fixed z and a=1/8, b=45/8





http://functions.wolfram.com/07.23.03.by6r.01









  


  








Input Form





Hypergeometric2F1[1/8, 45/8, 9/2, z] == (1/(8746023 z^(7/2))) (128 ((1/(1 - Sqrt[z])^(5/4)) (-320 + 400 Sqrt[z] - 968 z + 1135 z^(3/2) - 2420 z^2 + 2800 z^(5/2) - 8960 z^3 + 44800 z^(7/2) - 35840 z^4) + (1/(1 + Sqrt[z])^(5/4)) (320 + 400 Sqrt[z] + 968 z + 1135 z^(3/2) + 2420 z^2 + 2800 z^(5/2) + 8960 z^3 + 44800 z^(7/2) + 35840 z^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