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Titlebook: Approximation, Complex Analysis, and Potential Theory; N. Arakelian,P. M. Gauthier,G. Sabidussi Book 2001 Springer Science+Business Media

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https://doi.org/10.1007/BFb0111932y harmonic functions on a fixed open superset. Finally, we return to applications, and explain how some problems concerning the boundary behaviour of harmonic functions have recently been solved using harmonic approximation.
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Harmonic approximation and its applications,y harmonic functions on a fixed open superset. Finally, we return to applications, and explain how some problems concerning the boundary behaviour of harmonic functions have recently been solved using harmonic approximation.
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https://doi.org/10.1007/BFb0111694given sequence of complex numbers as its (multiplicity) index values..To examine the second problem, we present a new, purely analytic approach. Finally, we suggest an analytic method of construction of entire functions of finite order with joint deficient functions and index values.
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Springer Tracts in Modern Physics 12h uniform and tangential approximation are treated. We also give some applications of the theory to the construction of harmonic functions exhibiting various kinds of unexpected behaviour. The course is partly intended to provide preparatory material for S. J. Gardiner’ course “Harmonic approximation and applications”, published in this volume.
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