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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=9/8, b>=a > For fixed z and a=9/8, b=37/8





http://functions.wolfram.com/07.23.03.c2m0.01









  


  








Input Form





Hypergeometric2F1[9/8, 37/8, -(11/2), -z] == (1/(315392 (1 + z)^(89/8))) ((315392 + 3797248 z + 21366240 z^2 + 75426693 z^3 + 192344997 z^4 + 409147882 z^5 + 1153667658 z^6 - 636805335 z^7 - 72178527 z^8 - 9114728 z^9 - 627520 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (78848 + 924672 z + 5059068 z^2 + 17348217 z^3 + 43042805 z^4 + 90067978 z^5 - 1376988378 z^6 + 17360733 z^7 + 2229657 z^8 + 156880 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