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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=3/4





http://functions.wolfram.com/07.23.03.a9ed.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, 3/2, -z] == (Sqrt[2] (-209 - 409 z - 659 z^2 - 575 z^3 - 260 z^4 - 48 z^5 + (209 + 845 z + 1749 z^2 + 2151 z^3 + 1534 z^4 + 592 z^5 + 96 z^6)/ Sqrt[1 + z]))/(663 Sqrt[z] 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