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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=3/8, b>=a > For fixed z and a=3/8, b=15/8





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









  


  










Input Form





Hypergeometric2F1[3/8, 15/8, -(21/4), z] == (1/(99008 2^(1/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(1/4) (-49504 + 350064 z - 1068262 z^2 + 1836545 z^3 - 1959615 z^4 + 1406755 z^5 + 69745 z^6 + (1/Sqrt[1 - z]) (2 (-24752 + 187408 z - 618553 z^2 + 1165006 z^3 - 1382150 z^4 + 1105720 z^5 - 1743625 z^6 + 139490 z^7))))










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