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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.a8tw.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 17/4, 5/2, -z] == (2 Sqrt[2] (-238 + 8806 z + 218674 z^2 + 1216662 z^3 + 2912448 z^4 + 3482336 z^5 + 2055680 z^6 + 478720 z^7 - (1/Sqrt[1 + z]) (-238 + 8687 z + 169028 z^2 + 821951 z^3 + 1781736 z^4 + 1968208 z^5 + 1087680 z^6 + 239360 z^7)))/(216315 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