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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=1/8, b>=a > For fixed z and a=1/8, b=45/8





http://functions.wolfram.com/07.23.03.by5t.01









  


  








Input Form





Hypergeometric2F1[1/8, 45/8, -(5/2), -z] == (1/(68672 (1 + z)^(65/8))) (4 (17168 + 143782 z + 544011 z^2 + 1367002 z^3 + 1350908 z^4 + 999336 z^5 + 477425 z^6 + 132160 z^7 + 16128 z^8) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-17168 - 138417 z - 502164 z^2 + 1109498 z^3 + 871884 z^4 + 439023 z^5 + 127120 z^6 + 16128 z^7) 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