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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=19/4





http://functions.wolfram.com/07.23.03.a7re.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 11/2, z] == (1/(534734915 z^(9/2))) (16 ((1 + Sqrt[z])^(13/2) (48944 - 318136 Sqrt[z] + 1228844 z - 3613116 z^(3/2) + 8984283 z^2 - 19872138 z^(5/2) + 40551852 z^3 - 77988768 z^(7/2) + 146978832 z^4 - 260735904 z^(9/2) + 371973888 z^5 - 370685952 z^(11/2) + 234394368 z^6 - 83845632 z^(13/2) + 12899328 z^7) - (1 - Sqrt[z])^(13/2) (48944 + 318136 Sqrt[z] + 1228844 z + 3613116 z^(3/2) + 8984283 z^2 + 19872138 z^(5/2) + 40551852 z^3 + 77988768 z^(7/2) + 146978832 z^4 + 260735904 z^(9/2) + 371973888 z^5 + 370685952 z^(11/2) + 234394368 z^6 + 83845632 z^(13/2) + 12899328 z^7)))








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