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Problem with inverse laplace transform


Hello,

   I am a new user of Mathematica, and want to get the following inverse 
Laplace transform problem:

   I have 3 parameters, h,m,n. Parameters m and n are integers. I tried 
to find inverse Laplace transform of function:


but mathematica can not give me an answer. Can it be solved by 
Mathematica?

Thank you very much!


Alexey.



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