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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=-37/8, b>=a > For fixed z and a=-37/8, b=47/8





http://functions.wolfram.com/07.23.03.bcd5.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, 9/2, z] == (1/(38666050605 z^(7/2))) (128 ((-(1 + Sqrt[z])^(13/4)) (-68672 + 223184 Sqrt[z] - 1004328 z + 2552667 z^(3/2) - 9206340 z^2 + 22095216 z^(5/2) - 117841152 z^3 + 164925696 z^(7/2) + 907545600 z^4 - 2463252480 z^(9/2) + 782106624 z^5 + 2998075392 z^(11/2) - 3302227968 z^6 + 1016070144 z^(13/2)) - (1 - Sqrt[z])^(13/4) (68672 + 223184 Sqrt[z] + 1004328 z + 2552667 z^(3/2) + 9206340 z^2 + 22095216 z^(5/2) + 117841152 z^3 + 164925696 z^(7/2) - 907545600 z^4 - 2463252480 z^(9/2) - 782106624 z^5 + 2998075392 z^(11/2) + 3302227968 z^6 + 1016070144 z^(13/2))))








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