Logarithmic Potentials with External Fields

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The book delves into the advancements in approximation theory and orthogonal polynomials, highlighting the significant solutions to previously unsolvable problems through the integration of approximation techniques with classical potential theory. It discusses the emergence of non-classical orthogonal polynomials, incomplete polynomials, and multipoint Pade approximation, along with their applications in resolving notable issues like Freud's problems and the "l/9-th" conjecture. A key objective is to offer a comprehensive introduction to weighted potential theory and its classical foundations.