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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=-15/8, b>=a > For fixed z and a=-15/8, b=45/8





http://functions.wolfram.com/07.23.03.bpf3.01









  


  










Input Form





Hypergeometric2F1[-(15/8), 45/8, -(23/4), z] == ((1 + Sqrt[1 - z])^(3/4) (-165053152 + 1151783952 z - 3194670798 z^2 + 4101129395 z^3 - 1542338784 z^4 - 1253150262 z^5 + 8582094374 z^6 - 10928063301 z^7 + 6788056608 z^8 - 2174456064 z^9 + 289124352 z^10 + (1/Sqrt[1 - z]) (2 (-82526576 + 617155264 z - 1874965565 z^2 + 2782403811 z^3 - 1629554370 z^4 - 417716754 z^5 - 5544197449 z^6 + 11816559695 z^7 - 11105762152 z^8 + 5757161280 z^9 - 1614277632 z^10 + 192749568 z^11))))/(330106304 2^(3/4) (-1 + z)^9)










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