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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=-39/8, b>=a > For fixed z and a=-39/8, b=29/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 29/8, 11/2, -z] == (1024 (Sqrt[z] (-45632 - 96968 z + 40641 z^2 - 54901 z^3 + 9143331 z^4 + 31062081 z^5 + 44914464 z^6 + 34053888 z^7 + 13381632 z^8 + 2162688 z^9) Cos[ArcTan[Sqrt[z]]/4] - (-182528 - 444912 z + 56327 z^2 - 144739 z^3 + 1093029 z^4 + 5421519 z^5 + 9102096 z^6 + 7565184 z^7 + 3176448 z^8 + 540672 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(9059030805 z^(9/2) (1 + z)^(1/8))








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