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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=-35/8, b>=a > For fixed z and a=-35/8, b=41/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), 41/8, 11/2, -z] == -((1024 (2 Sqrt[z] (63840 - 99180 z + 255303 z^2 - 1029420 z^3 - 3097853 z^4 + 44723730 z^5 + 161777280 z^6 + 214276608 z^7 + 127795200 z^8 + 28966912 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (102144 - 177840 z + 441351 z^2 - 1729665 z^3 + 17960985 z^4 + 192076049 z^5 + 506860320 z^6 + 595934976 z^7 + 333066240 z^8 + 72417280 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (28920160555 z^(9/2) (1 + z)^(5/8)))








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