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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=-17/8, b>=a > For fixed z and a=-17/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(17/8), 43/8, -(9/2), -z] == (1/(967680 (1 + z)^(55/8))) (-2 (-483840 - 1357440 z - 56430 z^2 + 2075997 z^3 - 1351812 z^4 - 4542615 z^5 + 753704 z^6 + 6650560 z^7 + 4967424 z^8 + 1171456 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1693440 + 5915280 z + 4191495 z^2 - 4621617 z^3 + 1426425 z^4 + 27242401 z^5 + 36991584 z^6 + 20204800 z^7 + 4100096 z^8) 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