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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, 1/2, z] == (1/1590186) ((1/(1 - Sqrt[z])^(5/4)) (795093 + 2112140 Sqrt[z] - 38419360 z + 1038080 z^(3/2) + 268286720 z^2 - 138191872 z^(5/2) - 568422400 z^3 + 400424960 z^(7/2) + 362086400 z^4 - 289669120 z^(9/2)) + (1/(1 + Sqrt[z])^(5/4)) (795093 - 2112140 Sqrt[z] - 38419360 z - 1038080 z^(3/2) + 268286720 z^2 + 138191872 z^(5/2) - 568422400 z^3 - 400424960 z^(7/2) + 362086400 z^4 + 289669120 z^(9/2)))








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