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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=21/8





http://functions.wolfram.com/07.23.03.b5bt.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, -(7/2), z] == (1/2560) ((1/(1 - Sqrt[z])^(1/4)) (1280 - 320 Sqrt[z] + 5520 z - 1480 z^(3/2) + 19357 z^2 - 5328 z^(5/2) + 77280 z^3 - 21120 z^(7/2) + 633600 z^4 + 632832 z^(9/2) - 3452928 z^5 - 737280 z^(11/2) + 2949120 z^6) + (1/(1 + Sqrt[z])^(1/4)) (1280 + 320 Sqrt[z] + 5520 z + 1480 z^(3/2) + 19357 z^2 + 5328 z^(5/2) + 77280 z^3 + 21120 z^(7/2) + 633600 z^4 - 632832 z^(9/2) - 3452928 z^5 + 737280 z^(11/2) + 2949120 z^6))








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