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Csc




Mathematica Notation

Traditional Notation









Elementary Functions > Csc[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Involving zn eb z





http://functions.wolfram.com/01.10.21.0034.01









  


  








Input Form





Integrate[(z^n Csc[c z])/E^(I c z (1 + 2 q)), z] == 2 I n! (-(z^(1 + n)/(1 + n)!) + E^(2 I c z) Sum[(1/(-j + n)!) (-2 I c)^(-1 - j) z^(-j + n) HypergeometricPFQ[ {Subscript[a, 1], \[Ellipsis], Subscript[a, 2 + j]}, {1 + Subscript[a, 1], \[Ellipsis], 1 + Subscript[a, 1 + j]}, E^(2 I c z)], {j, 0, n}] + Sum[(E^(2 I c (k - q) z) (2 I c (-k + q))^(-1 - j) z^(-j + n))/(-j + n)!, {j, 0, n}, {k, 0, -1 + q}]) /; Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, n + 2] == 1 && Element[n, Integers] && n >= 0 && Element[q, Integers] && q >= 0








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)





2002-12-18