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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=-35/8, b>=a > For fixed z and a=-35/8, b=-7/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), -(7/8), 11/2, -z] == (1024 (4 Sqrt[z] (560 + 7650 z + 52827 z^2 + 272769 z^3 + 5471840 z^4 - 8059620 z^5 + 1015875 z^6 + 93009 z^7 + 10578 z^8 + 688 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (1792 + 24144 z + 164511 z^2 + 841890 z^3 + 5921265 z^4 - 35023780 z^5 + 17128305 z^6 + 474978 z^7 + 53535 z^8 + 3440 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/(14630198869 z^(9/2) (1 + z)^(5/8))








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