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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 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=1/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 1/4, 9/2, z] == (1/(4023459 z^(7/2))) (8 ((1 + Sqrt[z])^(17/2) (-680 + 5780 Sqrt[z] - 20604 z + 37859 z^(3/2) - 34340 z^2 + 17340 z^(5/2) - 4760 z^3 + 560 z^(7/2)) + (1 - Sqrt[z])^(17/2) (680 + 5780 Sqrt[z] + 20604 z + 37859 z^(3/2) + 34340 z^2 + 17340 z^(5/2) + 4760 z^3 + 560 z^(7/2))))










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