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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=-15/4





http://functions.wolfram.com/07.23.03.aa8q.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(15/4), 11/2, -z] == (16 Sqrt[2] (-16 - 332 z - 3749 z^2 - 35217 z^3 - 528957 z^4 + 5185895 z^5 - 8250151 z^6 + 3575749 z^7 - 385767 z^8 + 4785 z^9 + (1/Sqrt[1 + z]) (16 + 340 z + 3913 z^2 + 37051 z^3 + 546117 z^4 - 2899897 z^5 + 482859 z^6 + 2794657 z^7 - 1042185 z^8 + 58569 z^9)))/ (64822395 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