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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=-21/4, b>=a > For fixed z and a=-21/4, b=17/4





http://functions.wolfram.com/07.23.03.a8ua.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 17/4, 11/2, -z] == (16 Sqrt[2] (-1904 - 1564 z + 1649 z^2 - 5015 z^3 + 47957 z^4 + 517023 z^5 + 1460134 z^6 + 2004464 z^7 + 1497760 z^8 + 588544 z^9 + 95744 z^10 - (1/Sqrt[1 + z]) (-1904 - 2516 z + 1105 z^2 - 4114 z^3 + 45220 z^4 + 360126 z^5 + 907387 z^6 + 1156408 z^7 + 816464 z^8 + 306240 z^9 + 47872 z^10)))/(5811663 z^(9/2) 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