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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=-23/8, b>=a > For fixed z and a=-23/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 37/8, -(9/2), -z] == (1/(1870848 (1 + z)^(49/8))) (-2 (-935424 - 2936192 z - 1843530 z^2 + 918749 z^3 - 1290848 z^4 + 5721729 z^5 + 25775672 z^6 + 32216640 z^7 + 17335296 z^8 + 3514368 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (467712 + 1321936 z + 547027 z^2 - 541749 z^3 + 816205 z^4 + 9193093 z^5 + 13715424 z^6 + 8118528 z^7 + 1757184 z^8) Sin[ArcTan[Sqrt[z]]/4])








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