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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=-7/8, b>=a > For fixed z and a=-7/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 45/8, -(7/2), z] == (1/549376) ((1/(1 - Sqrt[z])^(33/4)) (274688 - 2266176 Sqrt[z] + 8601168 z - 20301160 z^(3/2) + 33950793 z^2 - 42632436 z^(5/2) + 40138784 z^3 - 27194112 z^(7/2) + 12360960 z^4 - 3345408 z^(9/2) + 405504 z^5) + (1/(1 + Sqrt[z])^(33/4)) (274688 + 2266176 Sqrt[z] + 8601168 z + 20301160 z^(3/2) + 33950793 z^2 + 42632436 z^(5/2) + 40138784 z^3 + 27194112 z^(7/2) + 12360960 z^4 + 3345408 z^(9/2) + 405504 z^5))








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