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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=-19/4, b>=a > For fixed z and a=-19/4, b=15/4





http://functions.wolfram.com/07.23.03.a9oj.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 15/4, -(9/2), z] == (1/1344) ((1/(1 - Sqrt[z])^(7/2)) (672 - 2352 Sqrt[z] + 5600 z - 10780 z^(3/2) + 18590 z^2 - 29491 z^(5/2) + 44616 z^3 - 64680 z^(7/2) + 92400 z^4 - 129360 z^(9/2) + 192192 z^5 - 242112 z^(11/2) + 174720 z^6 - 49920 z^(13/2)) + (1/(1 + Sqrt[z])^(7/2)) (672 + 2352 Sqrt[z] + 5600 z + 10780 z^(3/2) + 18590 z^2 + 29491 z^(5/2) + 44616 z^3 + 64680 z^(7/2) + 92400 z^4 + 129360 z^(9/2) + 192192 z^5 + 242112 z^(11/2) + 174720 z^6 + 49920 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