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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=-21/4





http://functions.wolfram.com/07.23.03.9009.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(21/4), 11/2, -z] == (16 Sqrt[2] (-112 - 3212 z - 52163 z^2 - 741880 z^3 - 18087524 z^4 + 302200704 z^5 - 940415554 z^6 + 976216024 z^7 - 368156692 z^8 + 45627308 z^9 - 1247891 z^10 + (1/Sqrt[1 + z]) (112 + 3268 z + 53755 z^2 + 767567 z^3 + 18452140 z^4 - 201830460 z^5 + 319630090 z^6 + 111731650 z^7 - 313603828 z^8 + 105458400 z^9 - 8325677 z^10 + 76167 z^11)))/(2925314535 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