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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=-21/8, b>=a > For fixed z and a=-21/8, b=23/8





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









  


  










Input Form





Hypergeometric2F1[-(21/8), 23/8, -(13/4), z] == (1/(624 2^(1/4) (-1 + z)^3)) ((1 + Sqrt[1 - z])^(1/4) (-312 + 192 z + 229 z^2 + 371 z^3 - 1456 z^4 + 768 z^5 + (4 (-78 + 87 z + 43 z^2 + 63 z^3 + 1309 z^4 - 1984 z^5 + 768 z^6))/ Sqrt[1 - z]))










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