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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=25/8, b>=a > For fixed z and a=25/8, b=37/8





http://functions.wolfram.com/07.23.03.c9q6.01









  


  








Input Form





Hypergeometric2F1[25/8, 37/8, -(19/4), z] == (1/(17632 2^(3/4) (-1 + z)^12)) ((1 + Sqrt[1 - z])^(3/4) (8816 - 130964 z + 962655 z^2 - 4873566 z^3 + 21253665 z^4 + 2490035832 z^5 + 2572477137 z^6 + 418697370 z^7 + 301599 z^8 + (1/Sqrt[1 - z]) (8816 - 135372 z + 1027035 z^2 - 5339074 z^3 + 23577957 z^4 - 2744102628 z^5 - 3657137739 z^6 - 922499010 z^7 - 27445509 z^8 + 402132 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