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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=-21/8, b>=a > For fixed z and a=-21/8, b=47/8





http://functions.wolfram.com/07.23.03.bm7l.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, 5/2, z] == (1/(303025 z^(3/2))) (8 ((1/(1 + Sqrt[z])^(3/4)) (228 + 171 Sqrt[z] + 8208 z + 25120 z^(3/2) - 124800 z^2 - 221952 z^(5/2) + 342016 z^3 + 503808 z^(7/2) - 245760 z^4 - 327680 z^(9/2)) + (1/(1 - Sqrt[z])^(3/4)) (-228 + 171 Sqrt[z] - 8208 z + 25120 z^(3/2) + 124800 z^2 - 221952 z^(5/2) - 342016 z^3 + 503808 z^(7/2) + 245760 z^4 - 327680 z^(9/2))))








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