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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=45/8





http://functions.wolfram.com/07.23.03.b79k.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 45/8, -(11/2), z] == -((1/(315392 (1 - z)^(11/2))) (Sqrt[1 - z] (-315392 - 148736 z - 166880 z^2 - 260241 z^3 - 573702 z^4 - 2038521 z^5 - 19952968 z^6 + 225212600 z^7 - 587607040 z^8 + 676670720 z^9 - 369571840 z^10 + 78510080 z^11) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-59136 - 19264 z - 21833 z^2 - 37845 z^3 - 92842 z^4 - 356303 z^5 - 22277667 z^6 + 113615930 z^7 - 221163200 z^8 + 212910720 z^9 - 102206720 z^10 + 19627520 z^11) Sin[(3 ArcSin[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