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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm16.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(7/2), -z] == (1/(912640 (1 + z)^(43/8))) ((-(-912640 - 1311920 z + 1091603 z^2 - 1401758 z^3 + 4317215 z^4 + 31684048 z^5 + 48577920 z^6 + 30480384 z^7 + 7028736 z^8)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (684480 + 884120 z - 924761 z^2 + 1204970 z^3 + 19549419 z^4 + 33387936 z^5 + 22091520 z^6 + 5271552 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