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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=19/4





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









  


  








Input Form





Hypergeometric2F1[1/4, 19/4, -(9/2), -z] == (1/(2016 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^9) (1008 + 9212 z + 37843 z^2 + 92868 z^3 + 156178 z^4 - 109744 z^5 - 41781 z^6 - 9880 z^7 - 1064 z^8) + (1/(1 + z)^(19/2)) (1008 + 9716 z + 42323 z^2 + 110701 z^3 + 198418 z^4 + 662758 z^5 + 280991 z^6 + 98249 z^7 + 21356 z^8 + 2128 z^9)))








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