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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=45/8





http://functions.wolfram.com/07.23.03.c6qe.01









  


  








Input Form





Hypergeometric2F1[17/8, 45/8, -(15/4), z] == (1/(1321936 2^(3/4) (-1 + z)^11)) ((1 + Sqrt[1 - z])^(3/4) (-660968 + 9253552 z - 65758805 z^2 + 347824753 z^3 + 43228678870 z^4 + 34476382354 z^5 + 267049159 z^6 - 26976355 z^7 + 1608528 z^8 + (1/Sqrt[1 - z]) (4 (-165242 + 2396009 z - 17575740 z^2 + 94897193 z^3 - 11930054024 z^4 - 13076088069 z^5 - 1240309132 z^6 + 96679235 z^7 - 9450102 z^8 + 536176 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