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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=-23/4, b>=a > For fixed z and a=-23/4, b=-9/4





http://functions.wolfram.com/07.23.03.9263.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(9/4), 9/2, -z] == (8 Sqrt[2] (-40 - 856 z - 11221 z^2 - 202838 z^3 + 2114281 z^4 - 3119688 z^5 + 915213 z^6 + 5506 z^7 + 423 z^8 + 20 z^9 - (1/Sqrt[1 + z]) (4 (-10 - 219 z - 2911 z^2 - 52086 z^3 + 299767 z^4 - 299767 z^6 + 52086 z^7 + 2911 z^8 + 219 z^9 + 10 z^10))))/ (13042315 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