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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=29/8, b>=a > For fixed z and a=29/8, b=33/8





http://functions.wolfram.com/07.23.03.cax7.01









  


  








Input Form





Hypergeometric2F1[29/8, 33/8, -(11/2), -z] == (1/(12288 (1 + z)^(101/8))) ((12288 + 178944 z + 1271840 z^2 + 6052735 z^3 + 23110802 z^4 + 88630113 z^5 + 651189084 z^6 - 1062374735 z^7 + 243779090 z^8 - 5174897 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (3840 + 56640 z + 407953 z^2 + 1966289 z^3 + 7579000 z^4 + 29062410 z^5 - 275896391 z^6 + 160678853 z^7 - 13342946 z^8) Sin[(5 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