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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 4 and fixed z > For fixed z and a=-23/4, b>=a > For fixed z and a=-23/4, b=23/4





http://functions.wolfram.com/07.23.03.a7tz.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, -(9/2), z] == (1/4032) ((1/(1 + Sqrt[z])^(9/2)) (2016 + 9072 Sqrt[z] + 30688 z + 79884 z^(3/2) + 189450 z^2 + 402999 z^(5/2) + 833580 z^3 + 1631916 z^(7/2) + 3291288 z^4 + 6486480 z^(9/2) + 16144128 z^5 + 21894912 z^(11/2) - 38697984 z^6 - 169558272 z^(13/2) - 220646400 z^7 - 128314368 z^(15/2) - 28514304 z^8) + (1/(1 - Sqrt[z])^(9/2)) (2016 - 9072 Sqrt[z] + 30688 z - 79884 z^(3/2) + 189450 z^2 - 402999 z^(5/2) + 833580 z^3 - 1631916 z^(7/2) + 3291288 z^4 - 6486480 z^(9/2) + 16144128 z^5 - 21894912 z^(11/2) - 38697984 z^6 + 169558272 z^(13/2) - 220646400 z^7 + 128314368 z^(15/2) - 28514304 z^8))








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