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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=43/8





http://functions.wolfram.com/07.23.03.bx7k.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 43/8, -(5/2), -z] == (1/(960 (1 + z)^(55/8))) (-2 (-480 - 2436 z - 4389 z^2 + 4543 z^4 + 5390 z^5 + 2688 z^6 + 512 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1680 + 9681 z + 21945 z^2 + 33407 z^3 + 26103 z^4 + 10640 z^5 + 1792 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