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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=31/8, b>=a > For fixed z and a=31/8, b=43/8





http://functions.wolfram.com/07.23.03.cbm4.01









  


  








Input Form





Hypergeometric2F1[31/8, 43/8, -(17/4), z] == (-4896 + 88560 z - 824706 z^2 + 5646669 z^3 - 38355156 z^4 + 731534727 z^5 + 2182038254 z^6 + 1253863611 z^7 + 144129832 z^8 + 73185 z^9 + (1/Sqrt[1 - z]) (2 (-2448 + 45504 z - 434187 z^2 + 3024129 z^3 - 20540373 z^4 + 375027345 z^5 + 1338170405 z^6 + 977958443 z^7 + 174803937 z^8 + 4122755 z^9 - 48790 z^10)))/ (4896 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^13)








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