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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=23/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 23/8, 9/2, -z] == (256 (Sqrt[z] (51504 + 101935 z - 97643 z^2 + 1425693 z^3 + 5886295 z^4 + 9365776 z^5 + 7620480 z^6 + 3176448 z^7 + 540672 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - (68672 + 145928 z - 112665 z^2 + 683501 z^3 + 3642005 z^4 + 6309543 z^5 + 5390112 z^6 + 2323200 z^7 + 405504 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (229434975 z^(7/2) (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