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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=11/8, b>=a > For fixed z and a=11/8, b=39/8





http://functions.wolfram.com/07.23.03.c3ps.01









  


  










Input Form





Hypergeometric2F1[11/8, 39/8, -(9/2), -z] == (1/(21504 (1 + z)^(83/8))) ((21504 + 249088 z + 1374540 z^2 + 4979474 z^3 + 14770632 z^4 + 62933148 z^5 - 39350844 z^6 - 4209790 z^7 - 542568 z^8 - 39104 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (16128 + 184464 z + 1004543 z^2 + 3594021 z^3 + 10584670 z^4 - 77086414 z^5 + 3099603 z^6 + 402649 z^7 + 29328 z^8) Sin[(3 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