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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=21/8, b>=a > For fixed z and a=21/8, b=41/8





http://functions.wolfram.com/07.23.03.c8ay.01









  


  








Input Form





Hypergeometric2F1[21/8, 41/8, -(11/4), z] == (4 (1870 - 27965 z + 235365 z^2 - 2080375 z^3 - 12644028 z^4 - 6603975 z^5 - 51471 z^6 + 2451 z^7) + (1/Sqrt[1 - z]) (7480 - 115600 z + 996455 z^2 - 8778715 z^3 - 154329138 z^4 - 159009606 z^5 - 18272205 z^6 + 850497 z^7 - 39216 z^8))/(7480 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + 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