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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=25/8, b>=a > For fixed z and a=25/8, b=37/8





http://functions.wolfram.com/07.23.03.c9q3.01









  


  








Input Form





Hypergeometric2F1[25/8, 37/8, -(11/2), -z] == (1/(315392 (1 + z)^(105/8))) ((315392 + 4958464 z + 37961952 z^2 + 192874173 z^3 + 767764686 z^4 + 2896531495 z^5 + 18199542504 z^6 - 48947609253 z^7 + 18074740758 z^8 - 806125919 z^9 - 11005132 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (78848 + 1214976 z + 9117276 z^2 + 45465711 z^3 + 178431578 z^4 + 671746933 z^5 - 40767972504 z^6 + 37024396041 z^7 - 5402771454 z^8 + 2751283 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