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ArcCsc






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.17.16.0194.01









  


  










Input Form





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










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02





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