Solution of detention-including Laplace inverse transformation
Lixia Cao
Abstract
Lixia Cao
Abstract
Based on the summary of the Laplace inverse transformation computational method,the Laplace inverse integral formula which is not suitable for detention-including Laplace inverse solution were exemplified.One main reason is that some of the detention-including Laplace transformation which corresponding to image functions is the partition function.And in this case,other methods can be used only to solve the Laplace inverse transformation.
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Based on the summary of the Laplace inverse transformation computational method,the Laplace inverse integral formula which is not suitable for detention-including Laplace inverse solution were exemplified.One main reason is that some of the detention-including Laplace transformation which corresponding to image functions is the partition function.And in this case,other methods can be used only to solve the Laplace inverse transformation.
Key concepts: Laplace transform, Inverse Laplace transform, Post's inversion formula, Green's function for the three-variable Laplace equation, Transformation (genetics), Inverse, Mathematics, Laplace transform applied to differential equations