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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=-3/8, b>=a > For fixed z and a=-3/8, b=41/8





http://functions.wolfram.com/07.23.03.bw21.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 41/8, -(11/2), -z] == (1/(135168 (1 + z)^(77/8))) ((135168 + 1148160 z + 4240480 z^2 + 8779225 z^3 + 10686200 z^4 + 6210270 z^5 - 6900300 z^6 - 7231375 z^7 - 3749860 z^8 - 1049600 z^9 - 125952 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (168960 + 1466880 z + 5570492 z^2 + 11975735 z^3 + 15449260 z^4 + 10350450 z^5 + 9925280 z^6 + 4934063 z^7 + 1341520 z^8 + 157440 z^9) Sin[(5 ArcTan[Sqrt[z]])/4])








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