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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=-21/8





http://functions.wolfram.com/07.23.03.b8sd.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(21/8), 11/2, -z] == (1024 (Sqrt[z] (2240 + 43960 z + 465087 z^2 + 4041305 z^3 + 169141947 z^4 - 738830547 z^5 + 738870125 z^6 - 195546421 z^7 + 7331625 z^8 + 205751 z^9 + 6384 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] - (1280 + 24240 z + 248549 z^2 + 2127671 z^3 + 29937285 z^4 - 441167181 z^5 + 868757435 z^6 - 454077147 z^7 + 54222967 z^8 + 367745 z^9 + 11172 z^10) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (116728683841 z^(9/2) (1 + z)^(7/8))








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