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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=-39/8, b>=a > For fixed z and a=-39/8, b=-9/8





http://functions.wolfram.com/07.23.03.b9y3.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(9/8), 9/2, z] == (1/(1944068010753 z^(7/2))) (256 ((-Sqrt[z]) (171120 - 2624553 z + 23224549 z^2 - 7854089210 z^3 - 10208669246 z^4 - 657496845 z^5 + 80725009 z^6 - 9854432 z^7 + 660968 z^8) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (4 (-171120 + 2742198 z - 25014892 z^2 + 275831893 z^3 + 539154607 z^4 - 637386886 z^5 - 174167214 z^6 + 21392401 z^7 - 2546229 z^8 + 165242 z^9) Sin[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