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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=-37/8, b>=a > For fixed z and a=-37/8, b=47/8





http://functions.wolfram.com/07.23.03.bcd1.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, 7/2, -z] == (64 (Sqrt[z] (12876 - 207089 z + 22664223 z^2 + 235818000 z^3 + 820192512 z^4 + 1292451840 z^5 + 952565760 z^6 + 267386880 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (17168 - 273615 z + 7348977 z^2 + 123297924 z^3 + 507124224 z^4 + 876119040 z^5 + 685178880 z^6 + 200540160 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (1095799005 z^(5/2) (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