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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 4 and fixed z > For fixed z and a=-21/4, b>=a > For fixed z and a=-21/4, b=17/4





http://functions.wolfram.com/07.23.03.a8t6.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 17/4, -(9/2), z] == (1/192) ((1/(1 - Sqrt[z])^(7/2)) (96 - 336 Sqrt[z] + 896 z - 1876 z^(3/2) + 3626 z^2 - 6349 z^(5/2) + 10878 z^3 - 17688 z^(7/2) + 29568 z^4 - 48048 z^(9/2) + 96096 z^5 - 261184 z^(11/2) + 433664 z^6 - 335104 z^(13/2) + 95744 z^7) + (1/(1 + Sqrt[z])^(7/2)) (96 + 336 Sqrt[z] + 896 z + 1876 z^(3/2) + 3626 z^2 + 6349 z^(5/2) + 10878 z^3 + 17688 z^(7/2) + 29568 z^4 + 48048 z^(9/2) + 96096 z^5 + 261184 z^(11/2) + 433664 z^6 + 335104 z^(13/2) + 95744 z^7))








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