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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 4 and fixed z > For fixed z and a=-19/4, b>=a > For fixed z and a=-19/4, b=7/4





http://functions.wolfram.com/07.23.03.a9i9.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 7/4, 9/2, -z] == (8 Sqrt[2] (-2 (-380 - 2242 z - 4237 z^2 + 3724 z^3 + 9722 z^4 + 11054 z^5 + 6951 z^6 + 2352 z^7 + 336 z^8) + (1/Sqrt[1 + z]) (-760 - 4864 z - 10621 z^2 + 3724 z^3 + 42002 z^4 + 70580 z^5 + 64523 z^6 + 34776 z^7 + 10416 z^8 + 1344 z^9)))/ (288405 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])








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