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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=-19/8





http://functions.wolfram.com/07.23.03.b6cm.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(19/8), 7/2, z] == (1/(1582820785 z^(5/2))) (64 (-4 Sqrt[z] (-3219 + 84767 z - 8523639 z^2 - 49580487 z^3 - 55744255 z^4 - 11373063 z^5 + 387159 z^6 - 29233 z^7 + 1426 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((17168 - 466755 z + 12869562 z^2 + 118640283 z^3 + 56857492 z^4 - 143157749 z^5 - 46252310 z^6 + 1606389 z^7 - 119784 z^8 + 5704 z^9) 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