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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=-41/8, b>=a > For fixed z and a=-41/8, b=3/8





http://functions.wolfram.com/07.23.03.b8y9.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, -(11/2), z] == (1/1892352) ((1/(1 - Sqrt[z])^(3/4)) (946176 - 709632 Sqrt[z] + 241920 z - 284928 z^(3/2) + 156576 z^2 - 182700 z^(5/2) + 110909 z^3 - 130500 z^(7/2) + 78288 z^4 - 94976 z^(9/2) + 48384 z^5 - 64512 z^(11/2)) + (1/(1 + Sqrt[z])^(3/4)) (946176 + 709632 Sqrt[z] + 241920 z + 284928 z^(3/2) + 156576 z^2 + 182700 z^(5/2) + 110909 z^3 + 130500 z^(7/2) + 78288 z^4 + 94976 z^(9/2) + 48384 z^5 + 64512 z^(11/2)))








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