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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=-3/8





http://functions.wolfram.com/07.23.03.b6ii.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(3/8), 3/2, z] == (1/1878415) (4 (-2 (-313265 - 1110900 z + 418530 z^2 - 249748 z^3 + 109719 z^4 - 29328 z^5 + 3536 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[(-(-1 + z)) z]) ((209235 + 1727070 z - 2589510 z^2 + 1062768 z^3 - 602325 z^4 + 247882 z^5 - 62192 z^6 + 7072 z^7) 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