# 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} }

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

#### One Citation

A note on the two-dimensional electrostatic field produced by a line charge near a dielectric wedge

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We shall consider the problem of determining the correct electrostatic field produced when an infinite two-dimensional line source is influenced by an adjacent infinite dielectric wedge. This… Expand

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