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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=15/4





http://functions.wolfram.com/07.23.03.af8r.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 15/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1056 + 6000 z + 13146 z^2 + 12629 z^3 + 2695 z^4 - 2541 z^5 - 6205 z^6 - 3620 z^7 - 720 z^8)/(1 + z)^7 + (1/(1 + z)^(15/2)) (2 (528 + 3264 z + 8007 z^2 + 9259 z^3 + 3850 z^4 - 1078 z^5 + 6991 z^6 + 8875 z^7 + 4160 z^8 + 720 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