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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 45/8, 11/2, -z] == (1024 (Sqrt[z] (51520 - 133400 z + 363423 z^2 - 1325053 z^3 + 379830624 z^4 + 1192156416 z^5 + 1231785984 z^6 + 421724160 z^7) Cos[ArcTan[Sqrt[z]]/4] - (206080 - 469200 z + 1270037 z^2 - 4793407 z^3 + 44052912 z^4 + 220750464 z^5 + 274999296 z^6 + 105431040 z^7) Sin[ArcTan[Sqrt[z]]/4]))/(377207225967 z^(9/2) (1 + z)^(1/8))








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