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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=-1/4





http://functions.wolfram.com/07.23.03.a9bx.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(1/4), 7/2, -z] == (4 Sqrt[2] (-228 - 3059 z - 33516 z^2 + 125038 z^3 + 7992 z^4 + 2517 z^5 + 544 z^6 + 56 z^7 - (1/Sqrt[1 + z]) (-228 - 3173 z - 35017 z^2 + 24530 z^3 + 71514 z^4 + 19695 z^5 + 5843 z^6 + 1172 z^7 + 112 z^8)))/ (672945 z^(5/2) 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