Application of Mellin Transform

The steady-state temperature distribution in a wedge of radius a with the angle between the edges equal to 2a (i.e., spanning from -a to a) is governed by the following Dirichlet boundary-value problem in terms of polar coordinates (r,0)  

Applying integration by parts to the last two terms yields 

Following Davies (2002), the inversion gives the required temperature distribution as 

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