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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=-23/4, b>=a > For fixed z and a=-23/4, b=19/4





http://functions.wolfram.com/07.23.03.a7qg.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, -(5/2), z] == (1/240) ((1/(1 + Sqrt[z])^(3/2)) (120 + 180 Sqrt[z] + 1356 z + 1959 z^(3/2) + 12430 z^2 + 17820 z^(5/2) + 205920 z^3 - 573872 z^(7/2) - 3383328 z^4 + 49920 z^(9/2) + 9052160 z^5 + 4243200 z^(11/2) - 6449664 z^6 - 4299776 z^(13/2)) + (1/(1 - Sqrt[z])^(3/2)) (120 - 180 Sqrt[z] + 1356 z - 1959 z^(3/2) + 12430 z^2 - 17820 z^(5/2) + 205920 z^3 + 573872 z^(7/2) - 3383328 z^4 - 49920 z^(9/2) + 9052160 z^5 - 4243200 z^(11/2) - 6449664 z^6 + 4299776 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