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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=-5/4, b>=a > For fixed z and a=-5/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 21/4, -(9/2), z] == (1/3264) ((1/(1 - Sqrt[z])^(17/2)) (1632 - 13872 Sqrt[z] + 54400 z - 132940 z^(3/2) + 231370 z^2 - 308363 z^(5/2) + 323918 z^3 - 265880 z^(7/2) + 163200 z^4 - 69360 z^(9/2) + 17952 z^5 - 2112 z^(11/2)) + (1/(1 + Sqrt[z])^(17/2)) (1632 + 13872 Sqrt[z] + 54400 z + 132940 z^(3/2) + 231370 z^2 + 308363 z^(5/2) + 323918 z^3 + 265880 z^(7/2) + 163200 z^4 + 69360 z^(9/2) + 17952 z^5 + 2112 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