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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=-5/8, b>=a > For fixed z and a=-5/8, b=39/8





http://functions.wolfram.com/07.23.03.bv51.01









  


  










Input Form





Hypergeometric2F1[-(5/8), 39/8, -(13/4), z] == (1/(34224 2^(1/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(1/4) (-17112 + 102672 z - 233151 z^2 + 174685 z^3 - 340725 z^4 + 264591 z^5 - 102256 z^6 + 16128 z^7 + (1/Sqrt[1 - z]) (4 (-4278 + 27807 z - 70587 z^2 + 69874 z^3 + 390880 z^4 - 514881 z^5 + 333569 z^6 - 113344 z^7 + 16128 z^8))))










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