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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=5/4





http://functions.wolfram.com/07.23.03.aal1.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 5/4, 9/2, z] == (1/(4023459 z^(7/2))) (8 ((1 + Sqrt[z])^(15/2) (8840 - 66300 Sqrt[z] + 220116 z - 429845 z^(3/2) + 550290 z^2 - 464100 z^(5/2) + 247520 z^3 - 75600 z^(7/2) + 10080 z^4) - (1 - Sqrt[z])^(15/2) (8840 + 66300 Sqrt[z] + 220116 z + 429845 z^(3/2) + 550290 z^2 + 464100 z^(5/2) + 247520 z^3 + 75600 z^(7/2) + 10080 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