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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=23/8





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









  


  










Input Form





Hypergeometric2F1[-(37/8), 23/8, -(9/2), z] == (1/645120) ((1/(1 - Sqrt[z])^(11/4)) (322560 - 887040 Sqrt[z] + 1729280 z - 2815120 z^(3/2) + 4193940 z^2 - 5836105 z^(5/2) + 7828688 z^3 - 10134432 z^(7/2) + 12969600 z^4 - 16262400 z^(9/2) + 21288960 z^5 - 19329024 z^(11/2) + 7028736 z^6) + (1/(1 + Sqrt[z])^(11/4)) (322560 + 887040 Sqrt[z] + 1729280 z + 2815120 z^(3/2) + 4193940 z^2 + 5836105 z^(5/2) + 7828688 z^3 + 10134432 z^(7/2) + 12969600 z^4 + 16262400 z^(9/2) + 21288960 z^5 + 19329024 z^(11/2) + 7028736 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