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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm1e.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(3/2), z] == (1/22816) ((1/(1 + Sqrt[z])^(15/4)) (11408 + 42780 Sqrt[z] + 156147 z + 399280 z^(3/2) + 1437408 z^2 - 2088576 z^(5/2) - 19810560 z^3 - 35887104 z^(7/2) - 26357760 z^4 - 7028736 z^(9/2)) + (1/(1 - Sqrt[z])^(15/4)) (11408 - 42780 Sqrt[z] + 156147 z - 399280 z^(3/2) + 1437408 z^2 + 2088576 z^(5/2) - 19810560 z^3 + 35887104 z^(7/2) - 26357760 z^4 + 7028736 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