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





http://functions.wolfram.com/07.23.03.b5ls.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 37/8, -(5/2), z] == (1/18560) ((1/(1 + Sqrt[z])^(5/4)) (9280 + 11600 Sqrt[z] + 102312 z + 125715 z^(3/2) + 937860 z^2 + 1148400 z^(5/2) + 15924480 z^3 - 9053952 z^(7/2) - 206392320 z^4 - 98058240 z^(9/2) + 501350400 z^5 + 350945280 z^(11/2) - 334233600 z^6 - 267386880 z^(13/2)) + (1/(1 - Sqrt[z])^(5/4)) (9280 - 11600 Sqrt[z] + 102312 z - 125715 z^(3/2) + 937860 z^2 - 1148400 z^(5/2) + 15924480 z^3 + 9053952 z^(7/2) - 206392320 z^4 + 98058240 z^(9/2) + 501350400 z^5 - 350945280 z^(11/2) - 334233600 z^6 + 267386880 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