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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=15/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 15/8, 9/2, -z] == (256 (Sqrt[z] (-51504 - 269323 z - 390572 z^2 + 1411358 z^3 + 3710564 z^4 + 4287829 z^5 + 2733920 z^6 + 936192 z^7 + 135168 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 (-17168 - 92278 z - 142709 z^2 + 195286 z^3 + 601952 z^4 + 738088 z^5 + 488397 z^6 + 171840 z^7 + 25344 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (198843645 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