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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=41/8, b>=a > For fixed z and a=41/8, b=45/8





http://functions.wolfram.com/07.23.03.cdm9.01









  


  








Input Form





Hypergeometric2F1[41/8, 45/8, -(15/4), z] == (1/(188848 2^(3/4) (-1 + z)^14)) ((1 + Sqrt[1 - z])^(3/4) (-4 (-23606 + 507529 z - 5933690 z^2 + 56618991 z^3 + 27717515652 z^4 + 86872501047 z^5 + 67963017150 z^6 + 14715134961 z^7 + 635033550 z^8) + (1/Sqrt[1 - z]) (94424 - 2077328 z + 24738015 z^2 - 238095481 z^3 + 116730972091 z^4 + 420116543235 z^5 + 395610870333 z^6 + 114699070485 z^7 + 8736016401 z^8 + 78516273 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