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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=1/4, b>=a > For fixed z and a=1/4, b=6





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









  


  










Input Form





Hypergeometric2F1[1/4, 6, -(21/4), z] == (1/(792064 (-1 + z)^12)) (4 (198016 - 2432768 z + 13806208 z^2 - 48103936 z^3 + 115948160 z^4 - 211312384 z^5 + 423318912 z^6 - 444840165 z^7 + 220601997 z^8 - 87808490 z^9 + 24513874 z^10 - 4227377 z^11 + 337953 z^12) - 231 Sqrt[1 - z] z^(25/4) (-1451769 + 750915 z - 318570 z^2 + 94710 z^3 - 17325 z^4 + 1463 z^5) Beta[z, 3/4, 1/2])










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