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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=-21/4, b>=a > For fixed z and a=-21/4, b=17/4





http://functions.wolfram.com/07.23.03.a8t9.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 17/4, -(7/2), z] == (1/160) ((1/(1 + Sqrt[z])^(5/2)) (80 + 200 Sqrt[z] + 660 z + 1300 z^(3/2) + 3229 z^2 + 5850 z^(5/2) + 14520 z^3 + 26400 z^(7/2) + 102960 z^4 + 450208 z^(9/2) + 404800 z^5 - 675840 z^(11/2) - 1196800 z^6 - 478720 z^(13/2)) + (1/(1 - Sqrt[z])^(5/2)) (80 - 200 Sqrt[z] + 660 z - 1300 z^(3/2) + 3229 z^2 - 5850 z^(5/2) + 14520 z^3 - 26400 z^(7/2) + 102960 z^4 - 450208 z^(9/2) + 404800 z^5 + 675840 z^(11/2) - 1196800 z^6 + 478720 z^(13/2)))








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