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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=-17/4, b>=a > For fixed z and a=-17/4, b=5





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 5, 23/4, z] == (1/(412316860416 z^(19/4))) (209 (2 z^(3/4) (-1276275 - 1312740 z - 2068560 z^2 - 5237700 z^3 + 956729634 z^4 - 3197199180 z^5 + 4162358200 z^6 - 2462978700 z^7 + 555179625 z^8) + 69615 (-1 + z)^5 (55 + 308 z + 1050 z^2 + 2900 z^3 + 7975 z^4) ArcTan[z^(1/4)] - 69615 (-1 + z)^5 (55 + 308 z + 1050 z^2 + 2900 z^3 + 7975 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