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





http://functions.wolfram.com/07.23.03.a8we.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 21/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(11/2)) (2 (528 + 192 z - 213 z^2 + 329 z^3 - 698 z^4 + 2301 z^5 + 123013 z^6 + 372064 z^7 + 450384 z^8 + 250624 z^9 + 53504 z^10)) - (1/(1 + z)^5) (-1056 + 144 z + 222 z^2 - 685 z^3 + 1716 z^4 - 5525 z^5 + 330396 z^6 + 1192400 z^7 + 1591040 z^8 + 948992 z^9 + 214016 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