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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=47/8





http://functions.wolfram.com/07.23.03.b7b7.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(27/8))) ((1277696 - 8111088 z + 43560735 z^2 - 287091589 z^3 + 4398793608 z^4 + 88031879232 z^5 + 338423455744 z^6 + 536411504640 z^7 + 385598619648 z^8 + 104316534784 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-958272 + 6223064 z - 33610107 z^2 + 220443201 z^3 + 44130124720 z^4 + 208728343296 z^5 + 364412387328 z^6 + 277789343744 z^7 + 78237401088 z^8) Sin[(3 ArcTan[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