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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.afcm.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 19/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^8) (2 (528 + 3360 z + 8383 z^2 + 9417 z^3 + 2618 z^4 - 2618 z^5 - 9417 z^6 - 8383 z^7 - 3360 z^8 - 528 z^9)) + (1/(1 + z)^(17/2)) (1056 + 7248 z + 19994 z^2 + 26443 z^3 + 12936 z^4 - 4158 z^5 + 37006 z^6 + 62043 z^7 + 43480 z^8 + 15024 z^9 + 2112 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