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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 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=1





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 1, 5, z] == (1/(167475 z^4)) (16 (128 (-1 + (1 - z)^(1/4)) - 32 (-33 + 32 (1 - z)^(1/4)) z + 4 (-957 + 896 (1 - z)^(1/4)) z^2 + (7975 - 7168 (1 - z)^(1/4)) z^3 + 8960 (1 - z)^(1/4) z^4 - 7168 (1 - z)^(1/4) z^5 + 3584 (1 - z)^(1/4) z^6 - 1024 (1 - z)^(1/4) z^7 + 128 (1 - z)^(1/4) 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