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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=-5/8, b>=a > For fixed z and a=-5/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(5/8), 47/8, -(17/4), z] == (1/(5042336 2^(1/4) (-1 + z)^9)) ((1 + Sqrt[1 - z])^(1/4) (-2521168 + 20354724 z - 69076153 z^2 + 120291656 z^3 - 79027494 z^4 + 155797744 z^5 - 136161177 z^6 + 68351724 z^7 - 19020288 z^8 + 2286592 z^9 + (1/Sqrt[1 - z]) (-2521168 + 21615308 z - 78938369 z^2 + 152442965 z^3 - 131712490 z^4 - 708990202 z^5 + 977992491 z^6 - 726732663 z^7 + 324962400 z^8 - 82369280 z^9 + 9146368 z^10)))








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