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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=39/8





http://functions.wolfram.com/07.23.03.bm12.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(17/4), z] == (1/(1163616 2^(1/4) (-1 + z)^6)) ((1 + Sqrt[1 - z])^(1/4) (581808 - 1702644 z + 695175 z^2 + 854887 z^3 + 1543645 z^4 - 10978919 z^5 + 14944992 z^6 - 8405760 z^7 + 1757184 z^8 + (1/Sqrt[1 - z]) (581808 - 1993548 z + 1473771 z^2 + 683767 z^3 + 1112993 z^4 + 32621321 z^5 - 82534256 z^6 + 82319232 z^7 - 38455296 z^8 + 7028736 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