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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 21/8, -(9/2), z] == (1/6144) ((1/(1 - Sqrt[z])^(21/4)) (3072 - 16128 Sqrt[z] + 37632 z - 54768 z^(3/2) + 59892 z^2 - 53823 z^(5/2) + 39928 z^3 - 23472 z^(7/2) + 9408 z^4 - 1792 z^(9/2)) + (1/(1 + Sqrt[z])^(21/4)) (3072 + 16128 Sqrt[z] + 37632 z + 54768 z^(3/2) + 59892 z^2 + 53823 z^(5/2) + 39928 z^3 + 23472 z^(7/2) + 9408 z^4 + 1792 z^(9/2)))








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