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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=17/8, b>=a > For fixed z and a=17/8, b=37/8





http://functions.wolfram.com/07.23.03.c6k1.01









  


  








Input Form





Hypergeometric2F1[17/8, 37/8, -(15/4), z] == (1/(535920 2^(3/4) (-1 + z)^10)) ((1 + Sqrt[1 - z])^(3/4) (4 (66990 - 832909 z + 5178733 z^2 - 23542635 z^3 - 2146086172 z^4 - 1321895279 z^5 - 5931447 z^6 + 301599 z^7) + (1/Sqrt[1 - z]) (267960 - 3465616 z + 22347255 z^2 - 104128299 z^3 + 9616878958 z^4 + 8488162842 z^5 + 639289347 z^6 - 33008335 z^7 + 1608528 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