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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=-7/8, b>=a > For fixed z and a=-7/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 37/8, -(19/4), z] == (1/(2521376 2^(3/4) (-1 + z)^8)) ((1 + Sqrt[1 - z])^(3/4) (1260688 - 8775052 z + 25027145 z^2 - 35364108 z^3 + 18816070 z^4 - 44810624 z^5 + 32581961 z^6 - 11465040 z^7 + 1642752 z^8 + (1/Sqrt[1 - z]) (1260688 - 9405396 z + 29257085 z^2 - 46859592 z^3 + 33868926 z^4 + 74916336 z^5 - 96382627 z^6 + 56426820 z^7 - 17157632 z^8 + 2190336 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