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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, 9/2, -z] == (256 (Sqrt[z] (-57040 + 370047 z - 2459137 z^2 + 1509127516 z^3 + 7660742144 z^4 + 13974445056 z^5 + 11011686400 z^6 + 3186360320 z^7) Cos[ArcTan[Sqrt[z]]/4] - (-228160 + 1408888 z - 9355273 z^2 + 139442123 z^3 + 1219107296 z^4 + 2776460544 z^5 + 2503987200 z^6 + 796590080 z^7) Sin[ArcTan[Sqrt[z]]/4]))/(377207225967 z^(7/2) (1 + z)^(1/8))








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