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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=-1/8, b>=a > For fixed z and a=-1/8, b=19/8





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









  


  








Input Form





Hypergeometric2F1[-(1/8), 19/8, 11/2, -z] == -((1/(2608463 z^(9/2) (1 + z)^(7/8))) (1024 (Sqrt[z] (-15680 - 44520 z - 37219 z^2 - 3570 z^3 - 663 z^4 + 2448 z^5) Cos[(7 ArcTan[Sqrt[z]])/4] + (8960 + 19280 z + 4163 z^2 - 11578 z^3 - 1785 z^4 - 4284 z^5) 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