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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=-37/8, b>=a > For fixed z and a=-37/8, b=-27/8





http://functions.wolfram.com/07.23.03.bb9g.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(27/8), 5/2, z] == (1/(608777225 z^(3/2))) (16 ((-Sqrt[z]) (183483 - 48992573 z - 445264596 z^2 - 811988970 z^3 - 359954909 z^4 - 27676521 z^5 + 243846 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (2 (-122322 + 7400481 z + 125103846 z^2 + 185521609 z^3 - 153956606 z^4 - 150169709 z^5 - 13899222 z^6 + 121923 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