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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=13/8, b>=a > For fixed z and a=13/8, b=41/8





http://functions.wolfram.com/07.23.03.c4p2.01









  


  








Input Form





Hypergeometric2F1[13/8, 41/8, -(9/2), -z] == (1/(46080 (1 + z)^(85/8))) (-2 (-23040 - 269440 z - 1518870 z^2 - 5760867 z^3 - 18935180 z^4 - 103176810 z^5 + 62660710 z^6 + 5600805 z^7 + 664692 z^8 + 45920 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (57600 + 684400 z + 3923745 z^2 + 15117675 z^3 + 50060450 z^4 - 241832018 z^5 + 14314125 z^6 + 1683255 z^7 + 114800 z^8) Sin[(5 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