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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=5/8, b>=a > For fixed z and a=5/8, b=25/8





http://functions.wolfram.com/07.23.03.c02p.01









  


  








Input Form





Hypergeometric2F1[5/8, 25/8, -(11/2), -z] == (1/(135168 (1 + z)^(69/8))) ((135168 + 1108224 z + 4030304 z^2 + 8606773 z^3 + 12239940 z^4 + 13482750 z^5 + 22540980 z^6 + 2730805 z^7 + 252560 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (42240 + 354240 z + 1324603 z^2 + 2927669 z^3 + 4337364 z^4 + 4950648 z^5 - 868175 z^6 - 78925 z^7) 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