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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=19/4





http://functions.wolfram.com/07.23.03.a7qe.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 19/4, -(7/2), -z] == (Sqrt[z] (12899328 z^8 + 280 (1 + Sqrt[1 + z]) - 169728 z^7 (-257 + 38 Sqrt[1 + z]) - 20 z (76 + 83 Sqrt[1 + z]) - 99840 z^6 (-541 + 170 Sqrt[1 + z]) - 99 z^3 (427 + 470 Sqrt[1 + z]) + z^2 (7199 + 8064 Sqrt[1 + z]) - 624 z^5 (-46043 + 23526 Sqrt[1 + z]) - 132 z^4 (-40823 + 31928 Sqrt[1 + z])))/(560 Sqrt[2] (1 + 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