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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=3/4, b>=a > For fixed z and a=3/4, b=4





http://functions.wolfram.com/07.23.03.aj4b.01









  


  








Input Form





Hypergeometric2F1[3/4, 4, 23/4, z] == -((1/(524288 z^(19/4))) (7315 (2 z^(3/4) (-385 + 143 z + 69 z^2 + 45 z^3) + 3 (-385 + 308 z + 42 z^2 + 20 z^3 + 15 z^4) ArcTan[z^(1/4)] - 3 (-385 + 308 z + 42 z^2 + 20 z^3 + 15 z^4) ArcTanh[z^(1/4)])))








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