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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=-19/4, b>=a > For fixed z and a=-19/4, b=3/4





http://functions.wolfram.com/07.23.03.a9et.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, 11/2, -z] == (16 Sqrt[2] (-2128 - 21356 z - 98249 z^2 - 280991 z^3 - 662758 z^4 - 198418 z^5 - 110701 z^6 - 42323 z^7 - 9716 z^8 - 1008 z^9 + (1/Sqrt[1 + z]) (2128 + 22420 z + 108661 z^2 + 327579 z^3 + 792224 z^4 + 907610 z^5 + 558165 z^6 + 283735 z^7 + 99094 z^8 + 20944 z^9 + 2016 z^10)))/(13042315 z^(9/2) Sqrt[-1 + Sqrt[1 + z]])








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