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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=27/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 27/8, -(17/4), z] == (1478048 (1 + Sqrt[1 - z]) - 43472 (197 + 180 Sqrt[1 - z]) z + 418 (46469 + 37551 Sqrt[1 - z]) z^2 - 209 (94711 + 61398 Sqrt[1 - z]) z^3 - 88825 (-49 + 6 Sqrt[1 - z]) z^4 + 17765 (287 + 222 Sqrt[1 - z]) z^5 - 85 (96779 + 30920 Sqrt[1 - z]) z^6 + 6800 (611 + 84 Sqrt[1 - z]) z^7 - 761600 z^8)/(1478048 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(13/2))








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