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





http://functions.wolfram.com/07.23.03.bd96.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 41/8, -(11/2), z] == (1/450560) ((1/(1 - Sqrt[z])^(25/4)) (225280 - 1408000 Sqrt[z] + 4614400 z - 10976000 z^(3/2) + 21431200 z^2 - 36444100 z^(5/2) + 55749925 z^3 - 78094500 z^(7/2) + 101032800 z^4 - 120736000 z^(9/2) + 131971840 z^5 - 128128000 z^(11/2) + 102502400 z^6 - 59637760 z^(13/2) + 21299200 z^7 - 3407872 z^(15/2)) + (1/(1 + Sqrt[z])^(25/4)) (225280 + 1408000 Sqrt[z] + 4614400 z + 10976000 z^(3/2) + 21431200 z^2 + 36444100 z^(5/2) + 55749925 z^3 + 78094500 z^(7/2) + 101032800 z^4 + 120736000 z^(9/2) + 131971840 z^5 + 128128000 z^(11/2) + 102502400 z^6 + 59637760 z^(13/2) + 21299200 z^7 + 3407872 z^(15/2)))








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