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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=-31/8, b>=a > For fixed z and a=-31/8, b=-19/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), -(19/8), 11/2, -z] == -((1024 (4 Sqrt[z] (-112 - 1818 z - 15576 z^2 - 106975 z^3 - 15350467 z^4 + 28485784 z^5 - 9920022 z^6 + 436865 z^7 + 6721 z^8) Cos[ArcTan[Sqrt[z]]/4] + (1792 + 29648 z + 258159 z^2 + 1787170 z^3 + 18529841 z^4 - 105004372 z^5 + 82589889 z^6 - 11812734 z^7 - 6721 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(58263871809 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