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





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 19/4, -(1/2), z] == (1/4) ((1/(1 + Sqrt[z])^(3/2)) (2 + 3 Sqrt[z] + 72 z - 280 z^(3/2) - 1680 z^2 + 336 z^(5/2) + 5824 z^3 + 2496 z^(7/2) - 4992 z^4 - 3328 z^(9/2)) + (1/(1 - Sqrt[z])^(3/2)) (2 - 3 Sqrt[z] + 72 z + 280 z^(3/2) - 1680 z^2 - 336 z^(5/2) + 5824 z^3 - 2496 z^(7/2) - 4992 z^4 + 3328 z^(9/2)))








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