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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=-43/8, b>=a > For fixed z and a=-43/8, b=33/8





http://functions.wolfram.com/07.23.03.b859.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 33/8, 7/2, z] == (1/(777622755 z^(5/2))) (32 ((1 - Sqrt[z])^(19/4) (39216 + 186276 Sqrt[z] + 870105 z + 2794140 z^(3/2) + 12941280 z^2 + 55195392 z^(5/2) + 81000192 z^3 - 87659520 z^(7/2) - 409743360 z^4 - 502661120 z^(9/2) - 275185664 z^5 - 57933824 z^(11/2)) - (1 + Sqrt[z])^(19/4) (39216 - 186276 Sqrt[z] + 870105 z - 2794140 z^(3/2) + 12941280 z^2 - 55195392 z^(5/2) + 81000192 z^3 + 87659520 z^(7/2) - 409743360 z^4 + 502661120 z^(9/2) - 275185664 z^5 + 57933824 z^(11/2))))








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