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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 8 and fixed z and a>0 > For fixed z and a=11/8, b>=a > For fixed z and a=11/8, b=31/8





http://functions.wolfram.com/07.23.03.c3jm.01









  


  










Input Form





Hypergeometric2F1[11/8, 31/8, -(21/4), z] == (1/(525504 2^(1/4) (-1 + z)^10)) ((1 + Sqrt[1 - z])^(1/4) (2 (131376 - 1438880 z + 7339737 z^2 - 23521157 z^3 + 55361000 z^4 - 117193602 z^5 - 380974735 z^6 - 5743769 z^7 + 341214 z^8) + (1/Sqrt[1 - z]) (262752 - 3009136 z + 16085510 z^2 - 54038753 z^3 + 132577819 z^4 - 284680154 z^5 + 3234713372 z^6 + 728776235 z^7 - 47826829 z^8 + 2729712 z^9)))










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