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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=31/8





http://functions.wolfram.com/07.23.03.c3jq.01









  


  










Input Form





Hypergeometric2F1[11/8, 31/8, -(9/2), -z] == (1/(322560 (1 + z)^(75/8))) ((322560 + 3315200 z + 15982020 z^2 + 49600737 z^3 + 123073236 z^4 + 429273054 z^5 - 192743616 z^6 - 13997399 z^7 - 909168 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (241920 + 2451120 z + 11637145 z^2 + 35581584 z^3 + 87468606 z^4 - 451434860 z^5 + 10398609 z^6 + 681876 z^7) 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