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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=-33/8, b>=a > For fixed z and a=-33/8, b=43/8





http://functions.wolfram.com/07.23.03.bek6.01









  


  








Input Form





Hypergeometric2F1[-(33/8), 43/8, -(21/4), z] == (331968 - 652080 z - 53352 z^2 + 6213 z^3 + 93765 z^4 + 405783 z^5 + 5947095 z^6 - 19683488 z^7 + 23392512 z^8 - 12513280 z^9 + 2555904 z^10 + (1/Sqrt[1 - z]) (331968 - 818064 z + 231192 z^2 + 93651 z^3 + 125115 z^4 + 377853 z^5 + 5745201 z^6 - 29561092 z^7 + 52388864 z^8 - 45327360 z^9 + 19595264 z^10 - 3407872 z^11))/(331968 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^6)








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