The Faber polynomials for circular sectors

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The Faber Polynomials for Circular Sectors

The Faber polynomials for a region of the complex plane, which are of interest as a basis for polynomial approximation of analytic functions, are determined by a conformai mapping of the complement of that region to the complement of the unit disc. We derive this conformai mapping for a circular sector {;: \z\ < 1, |argz| < i/a}, where a > 1, and obtain a recurrence relation for the coefficient...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1987

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-1987-0890264-4