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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=-11/4, b>=a > For fixed z and a=-11/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, -(11/2), -z] == (1/(1216 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^8) (2 (304 + 1520 z + 2489 z^2 + 836 z^3 - 798 z^4 + 1064 z^5 + 11237 z^6 + 18636 z^7 + 14232 z^8 + 5408 z^9 + 832 z^10)) + (1/(1 + z)^(17/2)) (608 + 3344 z + 6422 z^2 + 3819 z^3 - 1216 z^4 + 1330 z^5 - 34710 z^6 - 97909 z^7 - 115992 z^8 - 72944 z^9 - 24128 z^10 - 3328 z^11)))








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