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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.aawz.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(13/2)) (1056 + 2448 z + 434 z^2 - 417 z^3 + 625 z^4 - 1547 z^5 - 57511 z^6 - 145112 z^7 - 151184 z^8 - 73920 z^9 - 14080 z^10) + (1/(1 + z)^6) (2 (528 + 960 z - 197 z^2 - 23 z^3 + 260 z^4 - 871 z^5 + 39955 z^6 + 118976 z^7 + 135344 z^8 + 70400 z^9 + 14080 z^10))))








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