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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=41/8, b>=a > For fixed z and a=41/8, b=45/8





http://functions.wolfram.com/07.23.03.cdm0.01









  


  










Input Form





Hypergeometric2F1[41/8, 45/8, -(11/2), z] == (1/90112) ((1/(1 - Sqrt[z])^(65/4)) (45056 - 732160 Sqrt[z] + 5346560 z - 22680320 z^(3/2) + 59643680 z^2 - 93518932 z^(5/2) + 69525665 z^3) + (1/(1 + Sqrt[z])^(65/4)) (45056 + 732160 Sqrt[z] + 5346560 z + 22680320 z^(3/2) + 59643680 z^2 + 93518932 z^(5/2) + 69525665 z^3))










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