Logarithmic Sine and Cosine Transforms and Their Applications to Boundary-Value Problems Connected with Sectionally-Harmonic Functions

@article{Idemen2013LogarithmicSA,
  title={Logarithmic Sine and Cosine Transforms and Their Applications to Boundary-Value Problems Connected with Sectionally-Harmonic Functions},
  author={Mithat Idemen},
  journal={Applied Mathematics-a Journal of Chinese Universities Series B},
  year={2013},
  volume={04},
  pages={378-386}
}
  • M. Idemen
  • Published 22 February 2013
  • Mathematics
  • Applied Mathematics-a Journal of Chinese Universities Series B
Let stand for the polar coordinates in R2,  be a given constant while satisfies the Laplace equation in the wedge-shaped domain or . Here αj(j = 1,2,...,n + 1) denote certain angles such that αj αj(j = 1,2,...,n + 1). It is known that if r = a satisfies homogeneous boundary conditions on all boundary lines  in addition to non-homogeneous ones on the circular boundary , then an explicit expression of in terms of eigen-functions can be found through the classical method of separation of variables… Expand
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