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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=-25/8, b>=a > For fixed z and a=-25/8, b=43/8





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









  


  










Input Form





Hypergeometric2F1[-(25/8), 43/8, -(5/2), -z] == (1/(3648 (1 + z)^(31/8))) ((3648 - 15960 z + 57057 z^2 - 381843 z^3 - 859488 z^4 + 611072 z^5 + 1863680 z^6 + 851968 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-6384 + 23541 z - 83391 z^2 + 1043760 z^3 + 3952256 z^4 + 4286464 z^5 + 1490944 z^6) Sin[(7 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