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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=41/8





http://functions.wolfram.com/07.23.03.bw24.01









  


  










Input Form





Hypergeometric2F1[-(3/8), 41/8, -(19/4), z] == (-568480 + 4921840 z - 18570970 z^2 + 39294565 z^3 - 48146720 z^4 + 20145510 z^5 - 18622926 z^6 + 9330045 z^7 - 2572752 z^8 + 306432 z^9 - (1/Sqrt[1 - z]) (2 (284240 - 2603040 z + 10480415 z^2 - 24000175 z^3 + 32879020 z^4 - 20145510 z^5 + 64555407 z^6 - 49676811 z^7 + 22147350 z^8 - 5566848 z^9 + 612864 z^10)))/ (568480 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + 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