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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=-7/4, b>=a > For fixed z and a=-7/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 19/4, -(7/2), -z] == (1/(80 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((2 (-20 - 70 z - 48 z^2 + 55 z^3 + 362 z^4 + 453 z^5 + 240 z^6 + 48 z^7))/(1 + z)^6) + (40 + 160 z + 161 z^2 - 77 z^3 + 1219 z^4 + 2753 z^5 + 2520 z^6 + 1104 z^7 + 192 z^8)/(1 + z)^(13/2)))








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