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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 exponential function and hyperbolic functions > Involving exp and sinh





http://functions.wolfram.com/06.25.21.0096.01









  


  








Input Form





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