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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=11/8, b>=a > For fixed z and a=11/8, b=47/8





http://functions.wolfram.com/07.23.03.c3wb.01









  


  








Input Form





Hypergeometric2F1[11/8, 47/8, -(5/2), -z] == (1/(12480 (1 + z)^(75/8))) ((12480 + 153816 z + 1045733 z^2 + 8457852 z^3 - 10951578 z^4 - 2095452 z^5 - 533859 z^6 - 98640 z^7 - 8960 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (9360 + 113997 z + 767988 z^2 - 14997050 z^3 + 1517052 z^4 + 389973 z^5 + 73000 z^6 + 6720 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