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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=9/8, b>=a > For fixed z and a=9/8, b=21/8





http://functions.wolfram.com/07.23.03.c2a6.01









  


  










Input Form





Hypergeometric2F1[9/8, 21/8, -(23/4), z] == (1/(27968 2^(3/4) (-1 + z)^9)) ((1 + Sqrt[1 - z])^(3/4) (-13984 + 130416 z - 550170 z^2 + 1396445 z^3 - 2421936 z^4 + 3235446 z^5 + 28204274 z^6 + 100533 z^7 + (1/Sqrt[1 - z]) (2 (-6992 + 68704 z - 306815 z^2 + 828051 z^3 - 1529496 z^4 + 2150766 z^5 - 19482151 z^6 - 1843105 z^7 + 67022 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