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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=-23/4, b>=a > For fixed z and a=-23/4, b=19/4





http://functions.wolfram.com/07.23.03.a7qh.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, -(5/2), -z] == (Sqrt[z] (-4299776 z^7 + 60 (1 + Sqrt[1 + z]) + 56576 z^6 (-227 + 38 Sqrt[1 + z]) - 3 z (191 + 201 Sqrt[1 + z]) + 16640 z^5 (-830 + 289 Sqrt[1 + z]) + z^2 (5081 + 5390 Sqrt[1 + z]) + 208 z^4 (-30013 + 16506 Sqrt[1 + z]) + z^3 (-967892 + 779792 Sqrt[1 + z])))/(120 Sqrt[2] (1 + z)^(3/2) Sqrt[-1 + Sqrt[1 + z]])








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