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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=-1/4, b>=a > For fixed z and a=-1/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(1/4), 21/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(21/2)) (1056 + 10704 z + 48594 z^2 + 129443 z^3 + 221129 z^4 + 241618 z^5 - 183372 z^6 - 116345 z^7 - 45103 z^8 - 10108 z^9 - 1008 z^10) + (1/(1 + z)^10) (2 (528 + 5088 z + 21819 z^2 + 54415 z^3 + 85787 z^4 + 83538 z^5 + 161301 z^6 + 106807 z^7 + 42765 z^8 + 9856 z^9 + 1008 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