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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=-47/8, b>=a > For fixed z and a=-47/8, b=13/8





http://functions.wolfram.com/07.23.03.b581.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 13/8, 7/2, -z] == (64 (4 Sqrt[z] (-1306929 - 6099002 z + 155760080 z^2 + 445564942 z^3 + 657327401 z^4 + 582178100 z^5 + 312592224 z^6 + 94262784 z^7 + 12300288 z^8) Cos[ArcTan[Sqrt[z]]/4] - (-20910864 - 104118677 z + 85386028 z^2 + 313863074 z^3 + 521009884 z^4 + 499902347 z^5 + 285345312 z^6 + 90418944 z^7 + 12300288 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(38047929381 z^(5/2) (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