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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=9/4, b>=a > For fixed z and a=9/4, b=19/4





http://functions.wolfram.com/07.23.03.alc5.01









  


  










Input Form





Hypergeometric2F1[9/4, 19/4, -(11/2), -z] == (1/(24640 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^12) (2 (6160 + 85120 z + 564655 z^2 + 2443995 z^3 + 8129041 z^4 + 25152545 z^5 - 464220599 z^6 + 208086149 z^7 - 1016025 z^8 - 40641 z^9)) + (1/(1 + z)^(25/2)) (12320 + 176400 z + 1212890 z^2 + 5432135 z^3 + 18571072 z^4 + 57887401 z^5 + 1469525478 z^6 - 1240773959 z^7 + 106479420 z^8 + 4186023 z^9 + 162564 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