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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=-45/8, b>=a > For fixed z and a=-45/8, b=-33/8





http://functions.wolfram.com/07.23.03.b68h.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(33/8), 7/2, -z] == -((64 (2 Sqrt[z] (-18 - 645 z - 231322 z^2 + 1833117 z^3 - 3595020 z^4 + 2183909 z^5 - 376530 z^6 + 9699 z^7 + 106 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + (48 + 1727 z + 69195 z^2 - 1605513 z^3 + 5972395 z^4 - 6482619 z^5 + 2160249 z^6 - 169595 z^7 - 159 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/(26299819 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