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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 8 and fixed z and a<0 > For fixed z and a=-45/8, b>=a > For fixed z and a=-45/8, b=23/8





http://functions.wolfram.com/07.23.03.b6wo.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 23/8, 5/2, -z] == (1/(35689885 z^(3/2) (1 + z)^(3/8))) (16 (Sqrt[z] (-41847 + 3052737 z + 26522487 z^2 + 83487999 z^3 + 132097632 z^4 + 113617152 z^5 + 50958336 z^6 + 9371648 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 (-27898 + 544011 z + 7167084 z^2 + 25930127 z^3 + 44267832 z^4 + 40011840 z^5 + 18596864 z^6 + 3514368 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))








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