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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=-3/4, b>=a > For fixed z and a=-3/4, b=23/4





http://functions.wolfram.com/07.23.03.ah2o.01









  


  








Input Form





Hypergeometric2F1[-(3/4), 23/4, -(9/2), -z] == (1/(12768 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^9) (6384 + 50540 z + 167219 z^2 + 281770 z^3 + 184338 z^4 + 450260 z^5 + 416419 z^6 + 214942 z^7 + 60816 z^8 + 7392 z^9) + (1/(1 + z)^(19/2)) (6384 + 53732 z + 191691 z^2 + 359461 z^3 + 307230 z^4 - 1003274 z^5 - 1501793 z^6 - 1148111 z^7 - 520184 z^8 - 132720 z^9 - 14784 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