Boundary value problems (BVPs) lie at the heart of mathematical analysis and have wide-ranging applications across physics, engineering and other scientific disciplines. At their core, these problems ...
In this paper we construct a Cauchy integral for the distributions in 𝒮′, the tempered distributions, and obtain various properties concerning this Cauchy integral. Our main goal is to show that the ...
Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...
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