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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.by5j.01









  


  








Input Form





Hypergeometric2F1[1/8, 45/8, -(9/2), -z] == (1/(7168 (1 + z)^(81/8))) (2 (3584 + 36736 z + 170754 z^2 + 476943 z^3 + 903162 z^4 + 1367002 z^5 + 903162 z^6 + 476943 z^7 + 170754 z^8 + 36736 z^9 + 3584 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1792 + 17808 z + 79959 z^2 + 214869 z^3 + 390286 z^4 - 390286 z^5 - 214869 z^6 - 79959 z^7 - 17808 z^8 - 1792 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