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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=-11/4, b>=a > For fixed z and a=-11/4, b=19/4





http://functions.wolfram.com/07.23.03.adm3.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 19/4, -(7/2), -z] == (1/(560 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((280 + 320 z - 351 z^2 + 550 z^3 + 8789 z^4 + 15336 z^5 + 10320 z^6 + 2496 z^7)/(1 + z)^5 - (1/(1 + z)^(11/2)) (2 (-140 - 230 z + 113 z^2 - 176 z^3 + 6457 z^4 + 19724 z^5 + 22920 z^6 + 12192 z^7 + 2496 z^8))))








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