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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=-15/4, b>=a > For fixed z and a=-15/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 23/4, -(11/2), z] == (1/26752) ((1/(1 - Sqrt[z])^(15/2)) (13376 - 100320 Sqrt[z] + 378480 z - 991040 z^(3/2) + 2058840 z^2 - 3625314 z^(5/2) + 5608515 z^3 - 7768530 z^(7/2) + 9705960 z^4 - 10901440 z^(9/2) + 10824528 z^5 - 9129120 z^(11/2) + 6086080 z^6 - 2895360 z^(13/2) + 848640 z^7 - 113152 z^(15/2)) + (1/(1 + Sqrt[z])^(15/2)) (13376 + 100320 Sqrt[z] + 378480 z + 991040 z^(3/2) + 2058840 z^2 + 3625314 z^(5/2) + 5608515 z^3 + 7768530 z^(7/2) + 9705960 z^4 + 10901440 z^(9/2) + 10824528 z^5 + 9129120 z^(11/2) + 6086080 z^6 + 2895360 z^(13/2) + 848640 z^7 + 113152 z^(15/2)))








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