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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=7/4





http://functions.wolfram.com/07.23.03.9668.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, 11/2, z] == (1/(534734915 z^(9/2))) (16 ((1 + Sqrt[z])^(19/2) (-244720 + 2324840 Sqrt[z] - 10234540 z + 28064140 z^(3/2) - 54294191 z^2 + 78579592 z^(5/2) - 85970136 z^3 + 69745200 z^(7/2) - 40378800 z^4 + 15685824 z^(9/2) - 3651648 z^5 + 384384 z^(11/2)) + (1 - Sqrt[z])^(19/2) (244720 + 2324840 Sqrt[z] + 10234540 z + 28064140 z^(3/2) + 54294191 z^2 + 78579592 z^(5/2) + 85970136 z^3 + 69745200 z^(7/2) + 40378800 z^4 + 15685824 z^(9/2) + 3651648 z^5 + 384384 z^(11/2))))








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