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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=11/8, b>=a > For fixed z and a=11/8, b=45/8





http://functions.wolfram.com/07.23.03.c3uf.01









  


  








Input Form





Hypergeometric2F1[11/8, 45/8, -(5/2), z] == -((1/(68672 (1 - z)^(19/2))) (Sqrt[1 - z] (-68672 + 849816 z - 5726601 z^2 + 44044504 z^3 + 78505578 z^4 - 9112140 z^5 + 2155399 z^6 - 385020 z^7 + 34224 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-51504 + 644873 z - 4383205 z^2 + 76205798 z^3 + 82814950 z^4 - 10143851 z^5 + 2343631 z^6 - 402132 z^7 + 34224 z^8) 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