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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=-23/4, b>=a > For fixed z and a=-23/4, b=6





http://functions.wolfram.com/07.23.03.a7va.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 6, -(19/4), z] == (1/17121280) ((1/(-1 + z)^5) (2 (-8560640 - 19374080 z - 50372608 z^2 - 160276480 z^3 - 709795840 z^4 - 6388162560 z^5 + 68208763545 z^6 - 180474326136 z^7 + 213325015410 z^8 - 119952724320 z^9 + 26239658445 z^10)) - 78718975335 z^(23/4) ArcTan[z^(1/4)] - 78718975335 z^(23/4) 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