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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=13/4





http://functions.wolfram.com/07.23.03.a8q1.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 13/4, -(7/2), z] == (1/160) ((1/(1 + Sqrt[z])^(3/2)) (80 + 120 Sqrt[z] + 420 z + 580 z^(3/2) + 1557 z^2 + 2088 z^(5/2) + 5880 z^3 + 7920 z^(7/2) + 39600 z^4 + 155584 z^(9/2) + 27456 z^5 - 274560 z^(11/2) - 183040 z^6) + (1/(1 - Sqrt[z])^(3/2)) (80 - 120 Sqrt[z] + 420 z - 580 z^(3/2) + 1557 z^2 - 2088 z^(5/2) + 5880 z^3 - 7920 z^(7/2) + 39600 z^4 - 155584 z^(9/2) + 27456 z^5 + 274560 z^(11/2) - 183040 z^6))








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