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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=33/8, b>=a > For fixed z and a=33/8, b=37/8





http://functions.wolfram.com/07.23.03.cc1l.01









  


  








Input Form





Hypergeometric2F1[33/8, 37/8, -(19/4), z] == (1/(17632 2^(3/4) (-1 + z)^13)) ((1 + Sqrt[1 - z])^(3/4) (-8816 + 148364 z - 1256715 z^2 + 7494006 z^3 - 39601965 z^4 - 7132795056 z^5 - 11048027157 z^6 - 3575504754 z^7 - 205378083 z^8 + (1/Sqrt[1 - z]) (-8816 + 152772 z - 1329795 z^2 + 8104369 z^3 - 43200807 z^4 + 7722488277 z^5 + 14640043047 z^6 + 6351995331 z^7 + 641191347 z^8 + 7137843 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