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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=21/4, b>=a > For fixed z and a=21/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[21/4, 23/4, -(11/2), -z] == (1/(704 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^16) (352 + 7520 z + 81282 z^2 + 612448 z^3 + 3861000 z^4 + 25284480 z^5 - 2055249380 z^6 + 4716850912 z^7 - 2856280632 z^8 + 495267040 z^9 - 17549262 z^10) + (1/(1 + z)^(33/2)) (352 + 7696 z + 84998 z^2 + 652171 z^3 + 4157520 z^4 + 27143220 z^5 + 2698755100 z^6 - 8484359422 z^7 + 7130058016 z^8 - 1898795420 z^9 + 136714638 z^10 - 1195701 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