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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 3 and fixed z > For fixed z and a=4/3, b>=a > For fixed z and a=4/3, b=11/3





http://functions.wolfram.com/07.23.03.7951.01









  


  










Input Form





Hypergeometric2F1[4/3, 11/3, -(11/2), -z] == (1/(5038848 (1 + z)^(21/2))) ((5038848 + 57666816 z + 306858240 z^2 + 1017979648 z^3 + 2419546624 z^4 + 4739727872 z^5 + 11995206144 z^6 - 11300723435 z^7 - 135750508 z^8 - 7438384 z^9) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (1679616 + 18040320 z + 89720064 z^2 + 277513216 z^3 + 617484800 z^4 + 1163736064 z^5 - 5819564225 z^6 + 132031316 z^7 + 7438384 z^8) Sinh[ArcSinh[Sqrt[z]]/3])










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