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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=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 35/8, -(7/2), z] == (1/29184) ((1/(1 - Sqrt[z])^(19/4)) (14592 - 69312 Sqrt[z] + 186960 z - 389880 z^(3/2) + 689985 z^2 - 1091664 z^(5/2) + 1570464 z^3 - 2079360 z^(7/2) + 2407680 z^4 - 2037760 z^(9/2) + 1011712 z^5 - 212992 z^(11/2)) + (1/(1 + Sqrt[z])^(19/4)) (14592 + 69312 Sqrt[z] + 186960 z + 389880 z^(3/2) + 689985 z^2 + 1091664 z^(5/2) + 1570464 z^3 + 2079360 z^(7/2) + 2407680 z^4 + 2037760 z^(9/2) + 1011712 z^5 + 212992 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