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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=-1/8, b>=a > For fixed z and a=-1/8, b=43/8





http://functions.wolfram.com/07.23.03.bx75.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 43/8, -(11/2), -z] == (1/(135168 (1 + z)^(79/8))) ((135168 + 1111296 z + 3922016 z^2 + 7584937 z^3 + 8205904 z^4 + 3397086 z^5 - 6794172 z^6 - 7065631 z^7 - 3760780 z^8 - 1078784 z^9 - 132096 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (236544 + 2107392 z + 8302196 z^2 + 18893207 z^3 + 27012796 z^4 + 23779602 z^5 + 17764504 z^6 + 7978607 z^7 + 2046800 z^8 + 231168 z^9) Sin[(7 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