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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=-19/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), -(19/8), 21/4, z] == (1/(8568736575 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (11408 - 191084 z + 1717617 z^2 - 13017954 z^3 + 238466415 z^4 + 772164744 z^5 + 449606943 z^6 + 48779046 z^7 - 170607 z^8 + (1/Sqrt[1 - z]) (-11408 + 196788 z - 1811733 z^2 + 13853590 z^3 - 244772187 z^4 - 386685564 z^5 + 351252869 z^6 + 253703526 z^7 + 14501595 z^8 - 227476 z^9)))








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