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variants of this functions
Erf






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erf[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions and a power function > Involving sin and power





http://functions.wolfram.com/06.25.21.0031.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) Sin[b z] Erf[a z], z] == (-((a z^\[Alpha])/(b Sqrt[Pi]))) Sum[((a^(2 k)/((1 + 2 k) k!)) (Gamma[1 + 2 k + \[Alpha], (-I) b z]/ ((-I) b z)^\[Alpha] + Gamma[1 + 2 k + \[Alpha], I b z]/ (I b z)^\[Alpha]))/b^(2 k), {k, 0, Infinity}]










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)





2001-10-29





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