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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=-13/4, b>=a > For fixed z and a=-13/4, b=21/4





http://functions.wolfram.com/07.23.03.acu0.01









  


  








Input Form





Hypergeometric2F1[-(13/4), 21/4, -(11/2), -z] == (1/(11968 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(15/2)) (2 (2992 + 12784 z + 16337 z^2 + 2108 z^3 - 2006 z^4 + 3536 z^5 + 84037 z^6 + 170668 z^7 + 149336 z^8 + 63008 z^9 + 10560 z^10)) - (1/(1 + z)^7) (-5984 - 22576 z - 22134 z^2 + 4403 z^3 + 221 z^4 - 5967 z^5 + 243877 z^6 + 573992 z^7 + 542256 z^8 + 241472 z^9 + 42240 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