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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=15/4





http://functions.wolfram.com/07.23.03.a9ok.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 15/4, -(9/2), -z] == (Sqrt[z] (-49920 z^8 + 336 (1 + Sqrt[1 + z]) + 2496 z^7 (-63 + 10 Sqrt[1 + z]) - 28 z (7 + 13 Sqrt[1 + z]) - 11 z^3 (38 + 65 Sqrt[1 + z]) + 11 z^4 (103 + 144 Sqrt[1 + z]) + 144 z^6 (-1141 + 416 Sqrt[1 + z]) + z^2 (237 + 461 Sqrt[1 + z]) + 24 z^5 (-2309 + 1616 Sqrt[1 + z])))/(672 Sqrt[2] (1 + 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