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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=29/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 29/8, -(9/2), -z] == (1/(64512 (1 + z)^(65/8))) (4 (16128 + 132160 z + 477425 z^2 + 999336 z^3 + 1350908 z^4 + 1367002 z^5 + 544011 z^6 + 143782 z^7 + 17168 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16128 + 127120 z + 439023 z^2 + 871884 z^3 + 1109498 z^4 - 502164 z^5 - 138417 z^6 - 17168 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