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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=39/8





http://functions.wolfram.com/07.23.03.bc6q.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, -(7/2), z] == (1/12776960) ((1/(1 + Sqrt[z])^(15/4)) (6388480 + 23956800 Sqrt[z] + 74094960 z + 173544200 z^(3/2) + 391096899 z^2 + 780948900 z^(5/2) + 1630089120 z^3 + 3162297600 z^(7/2) + 8221973760 z^4 - 5703379968 z^(9/2) - 78941491200 z^5 - 145916559360 z^(11/2) - 107539660800 z^6 - 28677242880 z^(13/2)) + (1/(1 - Sqrt[z])^(15/4)) (6388480 - 23956800 Sqrt[z] + 74094960 z - 173544200 z^(3/2) + 391096899 z^2 - 780948900 z^(5/2) + 1630089120 z^3 - 3162297600 z^(7/2) + 8221973760 z^4 + 5703379968 z^(9/2) - 78941491200 z^5 + 145916559360 z^(11/2) - 107539660800 z^6 + 28677242880 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