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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=-13/4, b>=a > For fixed z and a=-13/4, b=5





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 5, 19/4, z] == -((1/(1073741824 z^(15/4))) (11 (2 z^(3/4) (15015 + 54210 z + 208845 z^2 - 47380564 z^3 + 144977105 z^4 - 148279950 z^5 + 50470875 z^6) + 4095 (-1 + z)^3 (-11 - 68 z - 306 z^2 - 1700 z^3 + 12325 z^4) ArcTan[z^(1/4)] - 4095 (-1 + z)^3 (-11 - 68 z - 306 z^2 - 1700 z^3 + 12325 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