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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=-41/8, b>=a > For fixed z and a=-41/8, b=-21/8





http://functions.wolfram.com/07.23.03.b8s2.01









  


  










Input Form





Hypergeometric2F1[-(41/8), -(21/8), 11/4, z] == (2 2^(3/4) (-10455 + 26681575 z + 140266470 z^2 + 143849262 z^3 + 28225189 z^4 - 336357 z^5 + 14364 z^6 + (1/Sqrt[1 - z]) (10455 + 25841690 z + 93931445 z^2 - 21792628 z^3 - 87184047 z^4 - 11252598 z^5 + 464835 z^6 - 19152 z^7)))/ (105056985 (1 + Sqrt[1 - z])^(3/4) z)










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