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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=11/8





http://functions.wolfram.com/07.23.03.b931.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 11/8, 7/2, z] == (1/(947039457 z^(5/2))) (32 ((1 + Sqrt[z])^(29/4) (-613360 + 4446860 Sqrt[z] - 14835645 z + 31128020 z^(3/2) - 42935200 z^2 + 38508288 z^(5/2) - 21573888 z^3 + 6859776 z^(7/2) - 946176 z^4) + (1 - Sqrt[z])^(29/4) (613360 + 4446860 Sqrt[z] + 14835645 z + 31128020 z^(3/2) + 42935200 z^2 + 38508288 z^(5/2) + 21573888 z^3 + 6859776 z^(7/2) + 946176 z^4)))








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