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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=27/8, b>=a > For fixed z and a=27/8, b=31/8





http://functions.wolfram.com/07.23.03.ca9v.01









  


  








Input Form





Hypergeometric2F1[27/8, 31/8, -(21/4), z] == (1/(7616 2^(1/4) (-1 + z)^12)) ((1 + Sqrt[1 - z])^(1/4) (-2 (-1904 + 27472 z - 192805 z^2 + 901794 z^3 - 3369135 z^4 + 12821468 z^5 + 145003021 z^6 + 87013650 z^7 + 7357527 z^8) + (1/Sqrt[1 - z]) (3808 - 56848 z + 412606 z^2 - 1989763 z^3 + 7595148 z^4 - 28808681 z^5 + 857684846 z^6 + 972376843 z^7 + 185801736 z^8 + 3469009 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