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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=-15/4, b>=a > For fixed z and a=-15/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 19/4, -(9/2), -z] == (1/(672 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((-336 - 308 z + 311 z^2 - 394 z^3 + 715 z^4 + 15072 z^5 + 28320 z^6 + 19968 z^7 + 4992 z^8)/(1 + z)^5) + (1/(1 + z)^(11/2)) (336 + 476 z - 199 z^2 + 221 z^3 - 473 z^4 + 21551 z^5 + 70440 z^6 + 85968 z^7 + 47424 z^8 + 9984 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