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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=-33/8, b>=a > For fixed z and a=-33/8, b=3





http://functions.wolfram.com/07.23.03.bea5.01









  


  










Input Form





Hypergeometric2F1[-(33/8), 3, 6, z] == (1/(36224279 z^5)) (2048 (-768 (-1 + (1 - z)^(1/8)) + 48 (-73 + 71 (1 - z)^(1/8)) z + (4745 - 4361 (1 - z)^(1/8)) z^2 - 385 (1 - z)^(1/8) z^3 - 189 (1 - z)^(1/8) z^4 + 17563 (1 - z)^(1/8) z^5 - 34363 (1 - z)^(1/8) z^6 + 29181 (1 - z)^(1/8) z^7 - 12095 (1 - z)^(1/8) z^8 + 2009 (1 - z)^(1/8) 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