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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=5/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 5/8, 9/2, z] == (1/(1055400885 z^(7/2))) (256 ((-Sqrt[z]) (51504 - 477485 z + 2109518 z^2 - 11637126 z^3 + 5759936 z^4 - 3372053 z^5 + 1379034 z^6 - 338928 z^7 + 37536 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (2 (-34336 + 347652 z - 1677099 z^2 + 6200867 z^3 - 7084782 z^4 + 3646650 z^5 - 2010775 z^6 + 771903 z^7 - 178848 z^8 + 18768 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