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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=1/8, b>=a > For fixed z and a=1/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 21/8, -(23/4), z] == (1/(1538240 2^(3/4) (-1 + z)^8)) ((1 + Sqrt[1 - z])^(3/4) (2 (384560 - 3026320 z + 10405505 z^2 - 20431598 z^3 + 25133590 z^4 - 20106872 z^5 - 5127183 z^6 + 603198 z^7) + (1/Sqrt[1 - z]) (769120 - 6437200 z + 23741190 z^2 - 50560191 z^3 + 68445648 z^4 - 61324722 z^5 + 71244386 z^6 - 15046439 z^7 + 1608528 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