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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=43/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 43/8, -(21/4), z] == (-331968 + 2667600 z - 9016488 z^2 + 15940677 z^3 - 13581960 z^4 - 395010 z^5 + 6583500 z^6 - 7670795 z^7 + 4410780 z^8 - 1331200 z^9 + 168960 z^10 + (1/Sqrt[1 - z]) (-331968 + 2833584 z - 10308792 z^2 + 20136219 z^3 - 20578995 z^4 + 4871790 z^5 + 7768530 z^6 - 17346505 z^7 + 15195785 z^8 - 7389600 z^9 + 1967360 z^10 - 225280 z^11))/ (331968 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + 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