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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=15/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 15/4, 11/2, z] == (1/(352495 z^(9/2))) (16 ((1 + Sqrt[z])^(11/2) (-560 + 3080 Sqrt[z] - 9020 z + 19580 z^(3/2) - 35123 z^2 + 54824 z^(5/2) - 75768 z^3 + 92400 z^(7/2) - 92400 z^4 + 65472 z^(9/2) - 27456 z^5 + 4992 z^(11/2)) + (1 - Sqrt[z])^(11/2) (560 + 3080 Sqrt[z] + 9020 z + 19580 z^(3/2) + 35123 z^2 + 54824 z^(5/2) + 75768 z^3 + 92400 z^(7/2) + 92400 z^4 + 65472 z^(9/2) + 27456 z^5 + 4992 z^(11/2))))








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