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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.actw.01









  


  








Input Form





Hypergeometric2F1[-(13/4), 5, 23/4, z] == -((1/(34359738368 z^(19/4))) (209 (2 z^(3/4) (225225 + 216645 z + 304005 z^2 + 651105 z^3 - 79216277 z^4 + 197466815 z^5 - 170904825 z^6 + 50470875 z^7) + 4095 (-1 + z)^4 (165 + 748 z + 2142 z^2 + 5100 z^3 + 12325 z^4) ArcTan[z^(1/4)] - 4095 (-1 + z)^4 (165 + 748 z + 2142 z^2 + 5100 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