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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





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









  


  










Input Form





Hypergeometric2F1[-(31/8), 45/8, -(23/4), z] == ((1 + Sqrt[1 - z])^(3/4) (-165053152 + 498747568 z - 256007070 z^2 - 201607043 z^3 - 196525315 z^4 - 246353289 z^5 + 9557450301 z^6 - 21603473760 z^7 + 20539613952 z^8 - 9292124160 z^9 + 1654456320 z^10 + (1/Sqrt[1 - z]) (2 (-82526576 + 290637072 z - 242374605 z^2 - 62815566 z^3 - 44222622 z^4 - 60929232 z^5 - 5306339101 z^6 + 18313140870 z^7 - 25910983296 z^8 + 18947563008 z^9 - 7136870400 z^10 + 1102970880 z^11))))/(330106304 2^(3/4) (-1 + 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