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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=-15/8, b>=a > For fixed z and a=-15/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, -(5/2), z] == (1/137344) ((1/(1 - Sqrt[z])^(25/4)) (68672 - 429200 Sqrt[z] + 1416360 z - 3406775 z^(3/2) + 6609680 z^2 - 10815840 z^(5/2) + 14421120 z^3 - 14150400 z^(7/2) + 9123840 z^4 - 3379200 z^(9/2) + 540672 z^5) + (1/(1 + Sqrt[z])^(25/4)) (68672 + 429200 Sqrt[z] + 1416360 z + 3406775 z^(3/2) + 6609680 z^2 + 10815840 z^(5/2) + 14421120 z^3 + 14150400 z^(7/2) + 9123840 z^4 + 3379200 z^(9/2) + 540672 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