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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=-45/8, b>=a > For fixed z and a=-45/8, b=47/8





http://functions.wolfram.com/07.23.03.b7c1.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 47/8, 7/2, z] == (1/(1582820785 z^(5/2))) (32 ((1 + Sqrt[z])^(13/4) (17168 - 55796 Sqrt[z] + 432419 z - 1227512 z^(3/2) + 12275120 z^2 - 11327680 z^(5/2) - 220962560 z^3 + 507453440 z^(7/2) + 343982080 z^4 - 1810432000 z^(9/2) + 1028325376 z^5 + 1274544128 z^(11/2) - 1622147072 z^6 + 499122176 z^(13/2)) + (1 - Sqrt[z])^(13/4) (-17168 - 55796 Sqrt[z] - 432419 z - 1227512 z^(3/2) - 12275120 z^2 - 11327680 z^(5/2) + 220962560 z^3 + 507453440 z^(7/2) - 343982080 z^4 - 1810432000 z^(9/2) - 1028325376 z^5 + 1274544128 z^(11/2) + 1622147072 z^6 + 499122176 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