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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.bm6p.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, -(9/2), z] == (1/4380672) ((1/(1 - Sqrt[z])^(31/4)) (2190336 - 16975104 Sqrt[z] + 64797440 z - 167982800 z^(3/2) + 338717780 z^2 - 566964053 z^(5/2) + 812922672 z^3 - 1007896800 z^(7/2) + 1069157760 z^4 - 933630720 z^(9/2) + 626436096 z^5 - 293720064 z^(11/2) + 83804160 z^6 - 10813440 z^(13/2)) + (1/(1 + Sqrt[z])^(31/4)) (2190336 + 16975104 Sqrt[z] + 64797440 z + 167982800 z^(3/2) + 338717780 z^2 + 566964053 z^(5/2) + 812922672 z^3 + 1007896800 z^(7/2) + 1069157760 z^4 + 933630720 z^(9/2) + 626436096 z^5 + 293720064 z^(11/2) + 83804160 z^6 + 10813440 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