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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 8 and fixed z and a<0 > For fixed z and a=-41/8, b>=a > For fixed z and a=-41/8, b=35/8





http://functions.wolfram.com/07.23.03.b9fq.01









  


  










Input Form





Hypergeometric2F1[-(41/8), 35/8, 23/4, z] == (16 2^(3/4) (1533400 - 1226720 z - 1676285 z^2 - 4060025 z^3 + 663991249 z^4 - 2431829747 z^5 + 3789916576 z^6 - 3069377792 z^7 + 1277685760 z^8 - 217251840 z^9 + (1/Sqrt[1 - z]) (4 (-383350 + 498355 z + 313650 z^2 + 791095 z^3 + 177058331 z^4 - 885369246 z^5 + 1862208541 z^6 - 2124274240 z^7 + 1384491264 z^8 - 487751680 z^9 + 72417280 z^10))))/(21991694283 (1 + Sqrt[1 - z])^(3/4) z^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