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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=-17/4





http://functions.wolfram.com/07.23.03.9089.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(17/4), 9/2, -z] == (8 Sqrt[2] (-40 - 1152 z - 21433 z^2 - 594335 z^3 + 10253763 z^4 - 30511195 z^5 + 27624181 z^6 - 7905501 z^7 + 546025 z^8 + 279 z^9 + (1/Sqrt[1 + z]) (40 + 1172 z + 22004 z^2 + 604910 z^3 - 6871982 z^4 + 9703694 z^5 + 5781074 z^6 - 9288662 z^7 + 2030830 z^8 - 59706 z^9 - 558 z^10)))/(49395555 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