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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.ah2w.01









  


  










Input Form





Hypergeometric2F1[-(3/4), 23/4, -(5/2), -z] == (Sqrt[z] (-1344 z^8 + 380 (1 + Sqrt[1 + z]) + 336 z^7 (-29 + 2 Sqrt[1 + z]) + 931 z^2 (4 + 3 Sqrt[1 + z]) + 168 z^6 (-179 + 26 Sqrt[1 + z]) + 19 z (113 + 103 Sqrt[1 + z]) + z^5 (-50621 + 11802 Sqrt[1 + z]) + z^3 (-22558 + 12317 Sqrt[1 + z]) + z^4 (-48472 + 16711 Sqrt[1 + z])))/(760 Sqrt[2] (1 + z)^(15/2) 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