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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 8 and fixed z and a<0 > For fixed z and a=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi7t.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(11/2), z] == (1/450560) ((1/(1 - Sqrt[z])^(29/4)) (225280 - 1633280 Sqrt[z] + 5812480 z - 14068480 z^(3/2) + 26686880 z^2 - 42560980 z^(5/2) + 59171805 z^3 - 72961680 z^(7/2) + 80060640 z^4 - 77376640 z^(9/2) + 63937280 z^5 - 42465280 z^(11/2) + 20500480 z^6 - 6176768 z^(13/2) + 851968 z^7) + (1/(1 + Sqrt[z])^(29/4)) (225280 + 1633280 Sqrt[z] + 5812480 z + 14068480 z^(3/2) + 26686880 z^2 + 42560980 z^(5/2) + 59171805 z^3 + 72961680 z^(7/2) + 80060640 z^4 + 77376640 z^(9/2) + 63937280 z^5 + 42465280 z^(11/2) + 20500480 z^6 + 6176768 z^(13/2) + 851968 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