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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=-43/8, b>=a > For fixed z and a=-43/8, b=-15/8





http://functions.wolfram.com/07.23.03.b7kl.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(15/8), 17/4, z] == (8 2^(1/4) (-1029420 + 20159475 z - 253203006 z^2 + 24386874829 z^3 + 68541805616 z^4 + 30640423293 z^5 - 56700950 z^6 + 5126435 z^7 - 278800 z^8 + (1/Sqrt[1 - z]) (1029420 - 20674185 z + 263154066 z^2 + 10246281313 z^3 + 6491026944 z^4 - 13653914583 z^5 - 3547555750 z^6 + 240810015 z^7 - 21272440 z^8 + 1115200 z^9)))/ (278058416395 (1 + Sqrt[1 - z])^(1/4) z^3)








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