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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=5/4, b>=a > For fixed z and a=5/4, b=4





http://functions.wolfram.com/07.23.03.ajy6.01









  


  










Input Form





Hypergeometric2F1[5/4, 4, -(9/4), z] == (1/(288 (-1 + z)^8)) (4 (72 - 736 z + 4016 z^2 - 32992 z^3 + 19105 z^4 + 12061 z^5 - 1673 z^6 + 147 z^7) - 21 Sqrt[1 - z] z^(13/4) (2975 + 525 z - 75 z^2 + 7 z^3) Beta[z, 3/4, 1/2])










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