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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=-35/8, b>=a > For fixed z and a=-35/8, b=-15/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), -(15/8), 11/2, -z] == -((1024 (Sqrt[z] (-11200 - 181400 z - 1538275 z^2 - 10291190 z^3 - 344759129 z^4 + 867481940 z^5 - 406081445 z^6 + 23998730 z^7 + 902785 z^8 + 35088 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + (8960 + 143440 z + 1203683 z^2 + 8006530 z^3 + 79992185 z^4 - 692468920 z^5 + 726248965 z^6 - 141850534 z^7 - 1136705 z^8 - 43860 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/(248713380773 z^(9/2) (1 + z)^(5/8)))








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