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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=43/8





http://functions.wolfram.com/07.23.03.b9k6.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, 19/4, z] == (8 2^(3/4) (-153340 - 832915 z - 4913850 z^2 + 2260421741 z^3 - 12434412580 z^4 + 27072055296 z^5 - 29160162304 z^6 + 15569715200 z^7 - 3302227968 z^8 + (1/Sqrt[1 - z]) (153340 + 756245 z + 4478225 z^2 + 2365006591 z^3 - 16457147313 z^4 + 46429451664 z^5 - 68690422528 z^6 + 56465244160 z^7 - 24520491008 z^8 + 4402970624 z^9)))/ (37023991641 (1 + Sqrt[1 - z])^(3/4) z^3)








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