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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=3





http://functions.wolfram.com/07.23.03.aaq8.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 3, 23/4, z] == (1/(45097156608 z^(19/4))) (209 (2 z^(3/4) (-1276275 + 4813380 z - 3898440 z^2 - 3248700 z^3 + 101455242 z^4 - 198482004 z^5 + 171061072 z^6 - 72121140 z^7 + 12182625 z^8) + 69615 (-1 + z)^7 (55 + 154 z + 175 z^2) ArcTan[z^(1/4)] - 69615 (-1 + z)^7 (55 + 154 z + 175 z^2) 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