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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=21/4





http://functions.wolfram.com/07.23.03.aay8.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 21/4, 11/2, -z] == (16 Sqrt[2] (16 - 28 z + 77 z^2 - 324 z^3 + 3573 z^4 + 40114 z^5 + 109648 z^6 + 132704 z^7 + 76032 z^8 + 16896 z^9 - (1/Sqrt[1 + z]) (16 - 20 z + 61 z^2 - 281 z^3 + 3399 z^4 + 27977 z^5 + 67320 z^6 + 74800 z^7 + 40128 z^8 + 8448 z^9)))/ (447051 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