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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=-15/8, b>=a > For fixed z and a=-15/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, -(9/2), -z] == (1/(1098752 (1 + z)^(65/8))) (4 (274688 + 1579456 z + 3209343 z^2 + 1924962 z^3 - 1171716 z^4 + 3710434 z^5 + 14389869 z^6 + 18424932 z^7 + 12085728 z^8 + 4128256 z^9 + 585728 z^10) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-274688 - 1493616 z - 2765121 z^2 - 1171716 z^3 + 1367002 z^4 + 10345868 z^5 + 15317151 z^6 + 10900896 z^7 + 3945216 z^8 + 585728 z^9) 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