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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.a7rf.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 11/2, -z] == (16 Sqrt[2] (-48944 + 29716 z - 76475 z^2 + 329061 z^3 - 3979759 z^4 - 34952061 z^5 - 95773530 z^6 - 131251536 z^7 - 98767968 z^8 - 39207168 z^9 - 6449664 z^10 + (1/Sqrt[1 + z]) (48944 - 5244 z + 55499 z^2 - 284050 z^3 + 3801900 z^4 + 53700818 z^5 + 201975801 z^6 + 378276876 z^7 + 406157232 z^8 + 255540480 z^9 + 88088832 z^10 + 12899328 z^11)))/(534734915 z^(9/2) 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