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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.by5e.01









  


  








Input Form





Hypergeometric2F1[1/8, 45/8, -(11/2), -z] == (1/(315392 (1 + z)^(89/8))) ((315392 + 3539200 z + 18140640 z^2 + 56222133 z^3 + 117803505 z^4 + 178533862 z^5 + 225555330 z^6 + 127855185 z^7 + 59067933 z^8 + 18792580 z^9 + 3637760 z^10 + 322560 z^11) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (78848 + 860160 z + 4272828 z^2 + 12787485 z^3 + 25770905 z^4 + 37469458 z^5 - 28087890 z^6 - 13452207 z^7 - 4428435 z^8 - 884240 z^9 - 80640 z^10) 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