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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=-39/8, b>=a > For fixed z and a=-39/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, -(1/2), z] == (1/5016) ((1 + Sqrt[z])^(7/4) (2508 - 4389 Sqrt[z] + 70224 z - 252448 z^(3/2) - 506240 z^2 + 1793792 z^(5/2) - 157696 z^3 - 2207744 z^(7/2) + 1261568 z^4) + (1 - Sqrt[z])^(7/4) (2508 + 4389 Sqrt[z] + 70224 z + 252448 z^(3/2) - 506240 z^2 - 1793792 z^(5/2) - 157696 z^3 + 2207744 z^(7/2) + 1261568 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