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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=47/8





http://functions.wolfram.com/07.23.03.bm71.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 47/8, -(9/4), z] == (1/(17112 2^(1/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(1/4) (-8556 - 16399 z - 55614 z^2 + 1316329 z^3 - 3743664 z^4 + 4473216 z^5 - 2500608 z^6 + 540672 z^7 + (1/Sqrt[1 - z]) (-8556 - 12121 z - 46345 z^2 - 3114515 z^3 + 14435521 z^4 - 26541024 z^5 + 24592128 z^6 - 11489280 z^7 + 2162688 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