Conference proceeding
Appell polynomials and their zero attractors
GEMS IN EXPERIMENTAL MATHEMATICS, Vol.517, pp.69-96
Contemporary Mathematics
01 Jan 2010
Abstract
A polynomial family {p(n)(x)} is Appell if it is given by e(xt)/g(t) = Sigma(infinity)(n=0) p(n)(x)t(n) or, equivalently, p(n)'(x) = p(n-1)(x). If g(t) is an entire function, g(0) not equal 0, with at least one zero, the asymptotics of linearly scaled polynomials {p(n)(nx)} are described by means of finitely zeros of g, including those of minimal modulus. As a consequence, we determine the limiting behavior of their zeros as well as their density. The techniques and results extend our earlier work on Euler polynomials.
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Details
- Title
- Appell polynomials and their zero attractors
- Creators
- Robert P. Boyer - Drexel UniversityWilliam M. Y. Goh
- Contributors
- T Amdeberhan (Editor)L A Medina (Editor)V H Moll (Editor)
- Publication Details
- GEMS IN EXPERIMENTAL MATHEMATICS, Vol.517, pp.69-96
- Series
- Contemporary Mathematics
- Publisher
- Amer Mathematical Soc
- Number of pages
- 28
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- [Retired Faculty]
- Identifiers
- 991019170478904721
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