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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=-9/8, b>=a > For fixed z and a=-9/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 43/8, 11/2, z] == (1/(43730115 z^(9/2))) (512 ((1 + Sqrt[z])^(5/4) (-256 + 320 Sqrt[z] - 720 z + 840 z^(3/2) - 1545 z^2 + 1764 z^(5/2) - 3360 z^3 + 3840 z^(7/2) - 11520 z^4 + 56320 z^(9/2) - 45056 z^5) + (1 - Sqrt[z])^(5/4) (256 + 320 Sqrt[z] + 720 z + 840 z^(3/2) + 1545 z^2 + 1764 z^(5/2) + 3360 z^3 + 3840 z^(7/2) + 11520 z^4 + 56320 z^(9/2) + 45056 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