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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=3/8





http://functions.wolfram.com/07.23.03.b8zg.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, 19/4, z] == (8 2^(3/4) (-153340 + 1641435 z - 8625375 z^2 + 366534158 z^3 - 106791210 z^4 + 51705783 z^5 - 18201867 z^6 + 3953520 z^7 - 393984 z^8 + (1/Sqrt[1 - z]) (153340 - 1718105 z + 9426925 z^2 + 290491458 z^3 - 432960714 z^4 + 200551707 z^5 - 89504079 z^6 + 28754220 z^7 - 5720064 z^8 + 525312 z^9)))/(5289141663 (1 + Sqrt[1 - z])^(3/4) z^3)








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