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variants of this functions
Log




Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Transformations > Related transformations > Linear combinations involving the direct function > Involving cot-1(z)





http://functions.wolfram.com/01.04.16.0154.01









  


  








Input Form





a Log[x] + b ArcCot[y] == -2 I Pi (Floor[(-Arg[x^a] - Arg[(1 - I/y)^((I b)/2)] + Pi)/(2 Pi)] + Floor[(Pi - Im[a Log[x]])/(2 Pi)] + Floor[(Pi - (1/2) Re[b Log[1 - I/y]])/ (2 Pi)]) - 2 I Pi (Floor[(-Arg[x^a (1 - I/y)^((I b)/2)] - Arg[(1 + I/y)^((-(1/2)) (I b))] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[x^a (1 - I/y)^((I b)/2)]])/(2 Pi)] + Floor[((1/2) Re[b Log[1 + I/y]] + Pi)/(2 Pi)]) + Log[(x^a (1 - I/y)^((I b)/2))/(1 + I/y)^((1/2) (I b))]








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