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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=-19/8, b>=a > For fixed z and a=-19/8, b=33/8





http://functions.wolfram.com/07.23.03.bmx1.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 33/8, -(19/4), z] == (2 (6800 - 27200 z + 32555 z^2 - 2465 z^3 - 5525 z^4 - 16575 z^5 + 37114 z^6 - 24704 z^7 + 5632 z^8) + (1/Sqrt[1 - z]) (13600 - 61200 z + 90610 z^2 - 31535 z^3 - 13855 z^4 - 29325 z^5 + 322297 z^6 - 429088 z^7 + 228608 z^8 - 45056 z^9))/ (13600 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^6)








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