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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=-47/8, b>=a > For fixed z and a=-47/8, b=5/8





http://functions.wolfram.com/07.23.03.b53r.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 5/8, 11/2, z] == (1/(751899556815 z^(9/2))) (512 ((1 + Sqrt[z])^(43/4) (1094912 - 11770304 Sqrt[z] + 56573712 z - 158688920 z^(3/2) + 283738013 z^2 - 333246732 z^(5/2) + 264010656 z^3 - 141243648 z^(7/2) + 49271040 z^4 - 10171392 z^(9/2) + 946176 z^5) - (1 - Sqrt[z])^(43/4) (1094912 + 11770304 Sqrt[z] + 56573712 z + 158688920 z^(3/2) + 283738013 z^2 + 333246732 z^(5/2) + 264010656 z^3 + 141243648 z^(7/2) + 49271040 z^4 + 10171392 z^(9/2) + 946176 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