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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=-29/8, b>=a > For fixed z and a=-29/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 23/8, 11/2, -z] == (1024 (Sqrt[z] (38976 + 145000 z + 124033 z^2 - 71253 z^3 + 563875 z^4 + 1552369 z^5 + 1569120 z^6 + 736512 z^7 + 135168 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - (51968 + 200912 z + 191835 z^2 - 76531 z^3 + 303485 z^4 + 1019967 z^5 + 1101828 z^6 + 537600 z^7 + 101376 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (331406075 z^(9/2) (1 + z)^(3/8))








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