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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=-25/8





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









  


  










Input Form





Hypergeometric2F1[-(37/8), -(25/8), 9/2, -z] == (256 (Sqrt[z] (48 + 1031 z + 13754 z^2 + 1712997 z^3 - 6965816 z^4 + 6426433 z^5 - 1485966 z^6 + 47859 z^7 + 636 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - (64 + 1384 z + 18537 z^2 + 349362 z^3 - 4286997 z^4 + 7909044 z^5 - 3720977 z^6 + 376978 z^7 + 477 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/(371954583 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