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





http://functions.wolfram.com/07.23.03.bcc9.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, -(5/2), z] == (1/1368960) ((1/(1 - Sqrt[z])^(15/4)) (684480 - 2566800 Sqrt[z] + 10968792 z - 29956695 z^(3/2) + 100547260 z^2 - 254113200 z^(5/2) + 1174567680 z^3 + 4214450944 z^(7/2) - 30192645120 z^4 + 41829089280 z^(9/2) + 17770086400 z^5 - 85847900160 z^(11/2) + 69854822400 z^6 - 18627952640 z^(13/2)) + (1/(1 + Sqrt[z])^(15/4)) (684480 + 2566800 Sqrt[z] + 10968792 z + 29956695 z^(3/2) + 100547260 z^2 + 254113200 z^(5/2) + 1174567680 z^3 - 4214450944 z^(7/2) - 30192645120 z^4 - 41829089280 z^(9/2) + 17770086400 z^5 + 85847900160 z^(11/2) + 69854822400 z^6 + 18627952640 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