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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 power, exponential and hyperbolic functions > Involving power, exp and sinh





http://functions.wolfram.com/06.25.21.0099.01









  


  










Input Form





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










Standard Form





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MathML Form







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Rule Form





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2001-10-29





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