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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=-47/8, b>=a > For fixed z and a=-47/8, b=21/8





http://functions.wolfram.com/07.23.03.b5cv.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 21/8, 21/4, z] == (1/(985220775 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (536176 - 2814924 z + 3920787 z^2 + 2278748 z^3 + 26741778 z^4 - 96164568 z^5 + 151017827 z^6 - 135259056 z^7 + 71888256 z^8 - 21243904 z^9 + 2703360 z^10 + (1/Sqrt[1 - z]) (-536176 + 3083012 z - 5261227 z^2 - 636709 z^3 - 25267294 z^4 + 140758202 z^5 - 295589271 z^6 + 352659351 z^7 - 261335328 z^8 + 119924992 z^9 - 31404032 z^10 + 3604480 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