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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=-5/8





http://functions.wolfram.com/07.23.03.b8ww.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(5/8), 19/4, z] == (8 2^(3/4) (-153340 + 2136305 z - 16048425 z^2 + 2430409586 z^3 + 2111394482 z^4 - 152190171 z^5 + 31989027 z^6 - 4949880 z^7 + 383040 z^8 + (1/Sqrt[1 - z]) (153340 - 2212975 z + 17097410 z^2 + 2189822611 z^3 - 958962936 z^4 - 1443291129 z^5 + 239140650 z^6 - 48272331 z^7 + 7036080 z^8 - 510720 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