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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=-27/8, b>=a > For fixed z and a=-27/8, b=25/8





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









  


  










Input Form





Hypergeometric2F1[-(27/8), 25/8, 7/2, -z] == -((64 (Sqrt[z] (37620 - 90915 z - 83654 z^2 + 2656385 z^3 + 6452320 z^4 + 5438720 z^5 + 1576960 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] - (30096 - 78375 z + 595650 z^2 + 4877605 z^3 + 9349340 z^4 + 7168000 z^5 + 1971200 z^6) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (51841517 z^(5/2) (1 + z)^(5/8)))










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