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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=-17/4





http://functions.wolfram.com/07.23.03.a921.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(17/4), 11/2, -z] == (16 Sqrt[2] (-16 - 372 z - 4777 z^2 - 52031 z^3 - 930813 z^4 + 11081213 z^5 - 22629659 z^6 + 13720611 z^7 - 2465903 z^8 + 91731 z^9 + (1/Sqrt[1 + z]) (16 + 380 z + 4961 z^2 + 54374 z^3 + 956254 z^4 - 6677242 z^5 + 3975920 z^6 + 6656242 z^7 - 4381358 z^8 + 515622 z^9 - 6417 z^10)))/(126233085 z^(9/2) 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