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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=-35/8, b>=a > For fixed z and a=-35/8, b=25/8





http://functions.wolfram.com/07.23.03.bd1b.01









  


  










Input Form





Hypergeometric2F1[-(35/8), 25/8, 7/2, -z] == -((1/(7405931 z^(5/2) (1 + z)^(5/8))) (64 (2 Sqrt[z] (1710 - 4845 z - 11260 z^2 + 183495 z^3 + 630840 z^4 + 813120 z^5 + 476160 z^6 + 106496 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - (2736 - 8265 z + 76095 z^2 + 771145 z^3 + 1965585 z^4 + 2257248 z^5 + 1240320 z^6 + 266240 z^7) 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